Question

What is the volume of the right cone below?

Answer 1

The answer is A.

Explanation:

You have to use the formula of volume of cone,

`v = (1)/(3) * \pi * {r}^(2) * h`

Given that the diameter of cone is 10 units so the radius is 5. Then substitute the followung values into the formula :

Let r = 5 units,

Let h = 45 units,

`v = (1)/(3) * \pi * {5}^(2) * 45`

`v = (1)/(3) * \pi * 1125`

`v = 375\pi \: \: {units}^(3)`

Answer 2

`375\pi \: \: units ^(3)`

Answer A is correct.

Explanation:

`v = \pi {r}^(2) (h)/(3) \\ =\pi * 5 * 5 * (45)/(3) \\ = \pi * 25 * 15 \\ = 375\pi \: \: units ^(3)`