Answers
Given:
A figure of combination of hemisphere, cylinder and cone.
Radius of hemisphere, cylinder and cone = 6 units.
Height of cylinder = 12 units
Slant height of cone = 10 units.
To find:
The volume of the given figure.
Solution:
Volume of hemisphere is:
[tex]V_1=\dfrac{2}{3}\pi r^3[/tex]
Where, r is the radius of the hemisphere.
[tex]V_1=\dfrac{2}{3}(3.14)(6)^3[/tex]
[tex]V_1=\dfrac{6.28}{3}(216)[/tex]
[tex]V_1=452.16[/tex]
Volume of cylinder is:
[tex]V_2=\pi r^2h[/tex]
Where, r is the radius of the cylinder and h is the height of the cylinder.
[tex]V_2=(3.14)(6)^2(12)[/tex]
[tex]V_2=(3.14)(36)(12)[/tex]
[tex]V_2=1356.48[/tex]
We know that,
[tex]l^2=r^2+h^2[/tex] [Pythagoras theorem]
Where, l is length, r is the radius and h is the height of the cone.
[tex](10)^2=(6)^2+h^2[/tex]
[tex]100-36=h^2[/tex]
[tex]\sqrt{64}=h[/tex]
[tex]8=h[/tex]
Volume of cone is:
[tex]V_3=\dfrac{1}{3}\pi r^2h[/tex]
Where, r is the radius of the cone and h is the height of the cone.
[tex]V_3=\dfrac{1}{3}(3.14)(6)^2(8)[/tex]
[tex]V_3=\dfrac{25.12}{3}(36)[/tex]
[tex]V_3=301.44[/tex]
Now, the volume of the combined figure is:
[tex]V=V_1+V_2+V_3[/tex]
[tex]V=452.16+1356.48+301.44[/tex]
[tex]V=2110.08[/tex]
Therefore, the volume of the given figure is 2110.08 cubic units.
Related Questions
contrast how to graph x=2 and y=-4
Answers
Answer:
First of all, the x axis goes left to right while the y axis goes up to down.
Step-by-step explanation:
Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a $7.50, 7, point, 50 delivery fee and $14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $60
Whats the Inequality
Answers
Answer:
7.50 + 14x < 60
x < 3.75
Step-by-step explanation:
Let
x = number of pizzas ordered
Delivery fee = $7.50
Cost per pizza = $14
Total cost should be less than $60
The inequality
7.50 + 14x < 60
14x < 60 - 7.50
14x < 52.5
x < 52.5/14
x < 3.75
Math, math,math, hate it all year long
Answers
Answer:
the answer is $50.00
Step-by-step explanation:
okay so first u gave to subtract $80.00 from $430 u will get $350.00 then divide it by 7 and then you will get your answer
Answer:
ok
Step-by-step explanation:
please help! i think the answer is 12 but any verification would be greatly appreciated!
Answers
Answer:
13.9 or 14
Step-by-step explanation:
a^2 + b^2 = c^2
5^2 + 13^2 = c^2
25 + 169 = 197
square root 197 to get c
c = 13.9 (14 rounded up)
Helpful thing to note is that the hyptoenuse will always be longer than your "long side" of the triangle
What is infinity + infinity??
Answers
Answer:
Although this makes for a lot of potential fun with formulas, mind experiments and arguments, the answer is plain.
Infinity is already everything so there is no more to it, infinity plus infinity would be still just infinity, which is btw infinite.
Answer:
infinity + infinity = infinity
Step-by-step explanation:
Mark brainliest please :)
Solve for x. Round to the nearest tenth, if necessary.
K
L
99
х
15°
M
Answers
Answer:
x≈95,6
Step-by-step explanation:
x= cos 15⁰ x 99 ≈95,6
please can someone help me with this
Answers
Answer:
brainllest if right
90
Step-by-step explanation:
What are the more appropriate measures of center and spread for this data set?
Select two choices: one for the center and one for the spread.
A. Better measure of spread: the standard deviation
B. Better measure of center: the mean
C. Better measure of center: the median Pan
D. Better measure of spread: the interquartile range (IQR)
Answers
Answer:
C. Better measure of center: the median
D. Better measure of spread: the Interquartile range
18 2by5-4 1by10 find the difference
Answers
Given:
The expression is:
[tex]18\dfrac{2}{5}-4\dfrac{1}{10}[/tex]
To find:
The difference.
Solution:
We have,
[tex]18\dfrac{2}{5}-4\dfrac{1}{10}[/tex]
It can be rewritten as:
[tex]=\dfrac{90+2}{5}-\dfrac{40+1}{10}[/tex]
[tex]=\dfrac{92}{5}-\dfrac{41}{10}[/tex]
Taking LCM, we get
[tex]=\dfrac{184-41}{10}[/tex]
[tex]=\dfrac{143}{10}[/tex]
[tex]=\dfrac{140+3}{10}[/tex]
[tex]=14\dfrac{3}{10}[/tex]
Therefore, the value of the difference is [tex]14\dfrac{3}{10}[/tex].
given a rectangular has a length of 58.5 m and widht of 45 m. Draw a diagram with scake if givrn scale drawing is 1 cm:9m
Answers
Answer:
In picture
Step-by-step explanation:
Brainliest please
What is the multiplicative rate of change of the
function?
Answers
Answer:
0.25×5=0.125
0.125×0.5=0.0625
0.0625×0.5=0.03125
the multiplicative rate of chage of the function is 0.5
Find the mode from the dot plot. Quick pls
Answers
Hey there!
“What is the mode?”
The mode in mathematical terms means “the REPEATED NUMBER in the data”
Going through all of the terms in the given data none of them seems to be repeated
Option A-C aren't the answers because NONE of those numbers repeated in the data plot
Option D. is the answer because there are no given data in the plot
Answer: Option D. “There is no mode”
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
A leading automobile magazine has 60 pages and 4,50,000 copies are printed every month. How many pages in all are printed in the month of April?
Answers
Answer:
See the explanation below
Step-by-step explanation:
Number of months =4
Number of copies =450000
Number of pages =60
Number of copies in 4 months =450000*4
=1800000
Number of pages is
=1800000 *60
=108,000,000
Help, please :)
I really appreciate if you help me with steps as well, thanks! <3
Answers
Answer:
Step-by-step explanation:
All we have to do here is to find the measure of the central angle; the measure of the central angle of a circle is the same measure as the arc it intercepts. Angle DQE in degrees = arc DE in degrees. Use the arc length formula to find the measure of the central angle:
[tex]AL=\frac{\theta}{360}*2 \pi r[/tex] and filling in:
[tex]8.73=\frac{\theta}{360}*(2)(3.14)(10)[/tex] which simplifies to
[tex]8.73=\frac{62.8\theta}{360}[/tex] which simplifies a bit more to
[tex]\frac{360(8.73)}{62.8}=\theta[/tex] so
[tex]\theta=50.04[/tex] degrees. That means that arc DE also measures 50.04 degrees.
PLEASE HELP ASAP!
a. 4
b. 8
c. 16
d. 24
which one????
Answers
Answer:
A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z
find AD and AB
hhjhh
Answers
Answer:
y = 13
x = 20.6155281281
Step-by-step explanation:
5^2 + 12^2 = y^2
25 + 144 = y^2
169 = y^2
[tex]\sqrt{169}[/tex] = y
y = 13
y^2 + 16^2 = x^2
13^2 + 16^2 = x^2
425 = x^2
20.6155281281 = x
Hope this helps!
simple Answer:
y = √(119)
x = √(375)
Step-by-step explanation:
harder answer:
12^2 - 5^2 = y^2
y = √(119)
16^2+ √(119) = 375
x = √(375)
Simplify 6(x + 3). i suck at math pls help
Answers
Answer:
6x +18
Step-by-step explanation:
6(x + 3)
Distribute
6*x + 6*3
6x +18
Answer:
6x + 18
Step-by-step explanation:
Given
6(x + 3) ← multiply each term in the parenthesis by 6
= 6x + 18
of the 400 members in a health club, 270 use the weight room, 180 use the pool and 80 use both. Determine the number of members that do not use either the weight room
or the pool.
A 30
B) 130
C 190
D) 100
Answers
Really hope it helps !
given that x^2+y^2=9 and xy=5, find the value of (x - y)^2.
Answers
Answer:
[tex](x -y)^2 = -1[/tex]
Step-by-step explanation:
[tex](x - y)^2 = x^2 + y^2 - 2xy[/tex]
[tex]= (x^2 + y^2 ) - 2(xy)\\\\=(9) - 2( 5)\\\\= 9 - 10 \\\\ = -1[/tex]
The binomial expansion of (x - y)² is
(x - y)² = x² - 2xy + y²
Substitute the given values to the equation
(x - y)² = x² - 2xy + y²
(x - y)² = x² + y² - 2xy
(x - y)² = 9 - 2(5)
(x - y)² = 9 - 10
(x - y)² = -1
Therefore the value of (x - y)² is -1.
#ILoveMath
#ILoveYouShaina
Find x . Please and thank you
Answers
Answer:
x = 6
Step-by-step explanation:
In similar triangles, corresponding sides are in same ratio
[tex]\frac{x+3}{3}= \frac{6}{2}\\\\ \frac{x+3}{3}=3\\\\x+3 = 3*3\\\\x+3 = 9\\\\x = 9-3\\\\x = 6[/tex]
Please help meee I need this done ASAP
Answers
Answer:
4pi/15=θ - i think
Step-by-step explanation:
S = r*θ
r=9
s=12pi/5
12pi/5=9*θ
12pi/45=θ
4pi/15=θ
can someone please help me in this question
Answers
Answer:
a. 26 cm²
b. 55 cm²
c. 78 cm²
d. 89.27 cm²
Step-by-step explanation:
a. The shape can be decomposed into two rectangles
Area of the larger rectangle = L*W
L = 7 cm
W = 2 cm
Area of the larger rectangle = 7*2 = 14 cm²
Area of the smaller rectangle = L*W
L = 4 cm
W = 5 - 2 = 3 cm
Area of the larger rectangle = 4*3 = 12 cm²
Area of the compound shape = 14 + 12 = 26 cm²
b. The shape can be decomposed into a rectangle and a triangle.
Area of the compound shape = area of rectangle + area of triangle
= L*W + ½*b*h
L = 8 cm
W = 5 cm
b = 5 cm
h = 14 - 8 = 6 cm
Plug in the values
Area = 8*5 + ½*5*6
Area = 40 + 15
= 55 cm²
c. The shape can be decomposed into a rectangle and a trapezoid
Area of the compound shape = area of the rectangle + area of the trapezoid
= L*W + ½(a + b)h
L = 12 cm
W = 3 cm
a = 12 cm
b = 9 cm
h = 4 cm
Plug in the values
Area = 12*3 + ½(12 + 9)4
Area = 36 + 42
Area = 78 cm²
d. The shape can be decomposed into a rectangle and a semicircle
Area of the compound shape = area of the rectangle + area of the semicircle
= L*W + ½(πr²)
L = 10 cm
W = 5 cm
r = ½(10) = 5 cm
Plug in the values
Area = 10*5 + ½(π*5²)
Area = 50 + 39.27
Area = 89.27 cm²
please help!!!! been stuck on this for awhile now i’m so confused
Answers
Answer:
5π/6 to the right
π/6 to the right
solve the equation (log base 3^x)^2_6log base 3^x+9=0
Answers
Step-by-step explanation:
the answer is in the above image
A student made this graphic organizer to help write an informative essay. What fact could be added to either column?
Imported cotton came from colonies in Egypt and India.
Diamond-mining companies were built in South Africa.
An island nation with a strong navy is easier to defend.
A relationship with China strengthened the region.
Answers
Answer: An island nation with a strong navy is easier to defend.
Step-by-step explanation:
The fact that could be added to either column is that an island nation with a strong navy is easier to defend.
The information given is about facts concerning Great Britain and Japan.
Option A and D are incorrect as the information given wasn't stated. Option B is wrong because it stated a fact about South Africa.
The correct option is C.
Answer:
1,3, and 4
Step-by-step explanation:
got a hundo on the testo
Answer? Please ASAP I mark as brainlist please ASAP
Answers
Answer:
b. (x-3)(x+2)
Step-by-step explanation:
y=x^2-x-6
y=x^2-3x+2x-6
=x(x-3)+2(x-3)
=(x-3)(x+2)
Find the missing side or angle.
Round to the nearest tenth.
A=60°
b=50
C=48
a=[ ]
Answers
Answer:
202
Step-by-step explanation:
360 - 60+50+48
360-158
= 202
Answer:
The answer would be 49
Step-by-step explanation:
Trust
For what value of k will the relation y = kx² + 8x + 8 have only one zero? (3 marks)
Answers
Answer:
2
Step-by-step explanation:
2x^2 + 8x + 8
factor the 2 out : 2(x^2 + 4x + 4)
2(x + 2)^2
x = -2
Give reasons.
a.
Mass is a physical quantity.
Answers
Type the correct answer in each box. Use numerals instead of words, Simplify the following polynomial expression. (5x2 + 13x – 4) – (17x2 + 7x – 19) + (5x – 7)(3+ + 1)
____ x2 – ____ x + ____
Answers
Answer:
La primera es la respuesta la segunda parte es la
Step-by-step explanation:
La que te muestra como va el procedimiento
Answer:
-57x^2-10x+8
Step-by-step explanation:
i just did the test on edmentum
