Question

What is the volume of the right cone below?

Answer 1

Answer:

The answer is A.

Step-by-step explanation:

You have to use the formula of volume of cone,

$v = \frac{1}{3} \times \pi \times {r}^{2} \times h$

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,

$v = \frac{1}{3} \times \pi \times {5}^{2} \times 45$

$v = \frac{1}{3} \times \pi \times 1125$

$v = 375\pi \: \: {units}^{3}$

Answer 2

Answer:

$375\pi \: \: units ^{3}$

Answer A is correct.

Step-by-step explanation:

$v = \pi {r}^{2} \frac{h}{3} \\ =\pi \times 5 \times 5 \times \frac{45}{3} \\ = \pi \times 25 \times 15 \\ = 375\pi \: \: units ^{3}$