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melomori [17]
3 years ago
11

PLEASE HURRY AND HELP A sphere has a diameter of 12 ft. What is the volume of the sphere? Give the exact value in terms of pi

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
4 0

Answer:

288\pi  ft.^3

Step-by-step explanation:

Diameter = 12 ft.

Radius = 12/2 = 6 ft.

Volume = \frac{4}{3}\pi  r^3

\\=> \frac{4}{3} \pi (6)^3\\\\=>  \frac{4}{3} * 216 * \pi  \\\\=>\frac{4*216*\pi }{3}\\ \\=>4 * 72 * \pi  = 288\pi ft.^3\\

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Answer:

Part A : D.) 2w + 2(2w+ 1) = 29

Part B : Length of the sandbox is 10 feet.

Step-by-step explanation:

Given,

Perimeter = 29 ft

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Solution,

Let the width of the sandbox be 'w'.

Now as per question said;

The length of the sandbox is 1 foot longer than twice the width of the sandbox.

So we can say that;

Length = 2w+1

Now we know that the perimeter is equal to the sum of twice of length and width.

framing in equation form, we get;

Perimeter = 2(2w+1)+2w

we have given the perimeter, so on substituting the value, we get;

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Hence The equation used to find the width is  29=2(2w+1)+2w.

Now we solve for 'w'.

Applying distributive property, we get;

4w+2+2w=29\\\\6w+2=29

Subtracting both side by '2' we get

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Dividing both side by 6 we get;

\frac{6w}{6}=\frac{27}{6}\\\\w=4.5\ ft

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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