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sveticcg [70]
3 years ago
14

A sphere has a volume of 150 cubic inches. find the volume of a cylinder and a cone that both have the same radius and the same

height as the
sphere
Mathematics
1 answer:
astraxan [27]3 years ago
6 0

Answer:

Volume of a cylinder = 225.80 in³ (Approx)

Volume of cone = 75.29 in³ (Approx)

Step-by-step explanation:

Given:

Volume of sphere = 150 in³

Find:

Volume of a cylinder and a cone

Computation:

Volume of sphere = [4/3]πr³

150 = [4/3][22/7]r³

r = 3.3 in (Approx)

Height = 2(3.3) = 6.6

Volume of a cylinder = πr²h

Volume of a cylinder = [22/7]3.3²(6.6)

Volume of a cylinder = 225.80 in³ (Approx)

Volume of cone = [1/3]πr²h

Volume of cone = 75.29 in³ (Approx)

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Population Growth Using 20th-century U.S. census data,
asambeis [7]

The population of Ohio will be 10 million in the year 1970

The population growth of Ohio is represented by the function:

P(t)=\frac{12.79}{1+2.402e^{-}0.0309t}

P is the population in millions

t is the number of years since 1900

To find the year that the population of Ohio will be 10 million, substitute P = 10 into the function P(t) and solve for t

10=\frac{12.79}{1+2.402e^{-}0.0309t}\\\\10(1+2.402e^{-}0.0309t)=12.79\\\\1+2.402e^{-}0.0309t=\frac{12.79}{10} \\\\1+2.402e^{-}0.0309t=1.279\\\\2.402e^{-}0.0309t=1.279-1\\\\2.402e^{-}0.0309t = 0.279\\\\e^{-}0.0309t =\frac{0.279}{2.402} \\\\e^{-}0.0309t =0.116\\\\-0.0309t=ln0.116\\\\-0.0309t=-2.154\\\\t=\frac{-2.154}{-0.0309} \\\\t=69.7

t = 70 years (to the nearest whole number)

70 years after 1900 will be 1970

Therefore, the population of Ohio will be 10 million in the year 1970

Learn more here:  brainly.com/question/25504185

5 0
2 years ago
Solve for x in the diagram below.<br> 3x<br> 75°<br> T =
leva [86]
Answer:
3x+75=180
3x=180-75
3x=105
x=105/3
x=35
7 0
3 years ago
Read 2 more answers
Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 363636 feet^3 3 cubed. Syrus isn't sure if
stealth61 [152]

Answer:

The height of the tent = 3 feet

Step-by-step explanation:

Question

Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 36 feet^3. Syrus isn't sure if the tent will be tall enough for him to sit up inside. The tent is the shape of triangular prism whose length is 6 feet and width is 4 feet. What is the height of the tent?

Given:

Length of the tent = 6 feet

Width of the tent = 4 feet

Volume of the tent = 36 feet^3

To find the height of the tent.

Solution:

Since the ten is in shape of triangular prism, so the volume of traingular prism is given as:

V=\frac{1}{2}\times l\times w\times h

where l represents length, w represents width and h represents height of the prism.

Plugging in the know values of the dimension of the tent and the volume to find the height of the tent.

36=\frac{1}{2}\times 6\times 4\times h

Simplifying.

36=12h

Dividing both sides by 12.

\frac{36}{12}=\frac{12h}{12}

3=h

∴ h=3

Thus, the height of the tent = 3 feet

5 0
3 years ago
Read 2 more answers
Please Explain How To Solve This
atroni [7]

Answer:

Step-by-step explanation:

domain is always the x-values, the first number of an ordered pair. and yes, the x and y values increase at a constant rate.

problem #1:

x   /   y

-2     -1

-1      -3

0      -5

1       -7

problem #4:

(5, 1) (6, 2) (7, -3) (8, 4) (9, 5)

hope this all helped ;)

mark me brainliest :D

4 0
3 years ago
Read 2 more answers
Johnetta simplified 7/9+ 3/8 her work is shown below. identify where she made an error
Sedbober [7]
She made an error in the STEP 1
she shouldnt multiply the numbers
4 0
3 years ago
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