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

Answer:

C. 6aπ units³

Step-by-step explanation:

$\pi {r}^{2} \frac{h}{3} = V$

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

I am joyous to assist you anytime.

Answer 2

Step-by-step explanation:

ATQ,

r = 3 units

& h = 2a units

Now,

As we know that,

Volume of cone is given by

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

$v = \frac{1}{3}\pi {(3)}^{2} (2a)$

$v = 6a\pi \: {unit}^{3}$

So, correct option is (C).

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