Question

Hey there! Can you help with Math assignment?

A cone has a radius of 3 and a height given by the expression 2a. Which expression represents the volume of the cone?

A. 2aπ units³

B. 4a2π units³

C. 6aπ units³

D.24aπ units³


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Thanks!


-Charlie

Answer 1

C. 6aπ units³

Explanation:

`\pi {r}^(2) (h)/(3) = V`

`\frac{\pi({3})^(2)2a}{3} = (\pi(9)(2a))/(3) = (18\pi a)/(3) = 6\pi a`

I am joyous to assist you anytime.

Answer 2

Explanation:

ATQ,

r = 3 units

& h = 2a units

Now,

As we know that,

Volume of cone is given by

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

`v = (1)/(3)\pi {(3)}^(2) (2a)`

`v = 6a\pi \: {unit}^(3)`

So, correct option is (C).

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