What is the volume of the right cone below?

Answer:
The answer is A.
Step-by-step explanation:
You have to use the formula of volume of cone,
[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
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,
[tex]v = \frac{1}{3} \times \pi \times {5}^{2} \times 45[/tex]
[tex]v = \frac{1}{3} \times \pi \times 1125[/tex]
[tex]v = 375\pi \: \: {units}^{3} [/tex]
Answer:
[tex]375\pi \: \: units ^{3} [/tex]
Step-by-step explanation:
[tex]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} [/tex]