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AleksAgata [21]
3 years ago
5

Item 16 A sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. What is the difference of the vol

umes of the spheres?
Mathematics
1 answer:
Zigmanuir [339]3 years ago
3 0

Answer:

672\pi \text{ cm}^3.

Step-by-step explanation:

We have been given that a sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. We are asked to find the difference of the volumes of the spheres.      

We will use volume formula of sphere to solve our given problem.

\text{Volume of sphere}=\frac{4}{3}\pi r^3, where r is radius of sphere.

The difference of volumes would be volume of larger sphere minus volume of smaller sphere.

\text{Difference of volumes}=\frac{4}{3}\pi(\text{8 cm})^3-\frac{4}{3}\pi(\text{2 cm})^3

\text{Difference of volumes}=\frac{4}{3}\pi(512)\text{ cm}^3-\frac{4}{3}\pi(8)\text{ cm}^3

\text{Difference of volumes}=\frac{4}{3}\pi(512-8)\text{ cm}^3

\text{Difference of volumes}=4\pi(168)\text{ cm}^3

\text{Difference of volumes}=672\pi\text{ cm}^3

Therefore, the difference between volumes of the spheres is 672\pi \text{ cm}^3.

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Step-by-step explanation:

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Neglecting negative value,

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Base of triangle = 2x+2

Height = x

The area of a triangle is given by :

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x = 24 cm and x = -25 cm

Neglecting negative value, x = 24 cm

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3 years ago
8th grade teachers and students from M.I.T went on a field trip to an zoo. Tickets
alukav5142 [94]

As there are multiple answers going with trial and error seems good in this case.

A

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B

5.00 + 5.00 + 5.00 + 5.00 = 20.00

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C

5.00 + 5.00 + 5.00 = 15.00

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Always recheck your answers and good luck,

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Ghella [55]
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amid [387]

Answer:

Step-by-step explanation:

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r = 30

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so C at 2830 is closest to the answer

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2 years ago
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The answer is C. 2. Hope this helped. now go pass that assignment.
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