Mathematics ACT Aspire Practice Test 2025 – Complete Study Resource

Question: 1 / 400

What is the approximate volume of a cone with a radius of 3 and a height of 4?

12.57

25.13

37.68

To find the volume of a cone, you can use the formula:

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

where $ V $ is the volume, $ r $ is the radius, and $ h $ is the height of the cone.

In this case, the radius $ r $ is 3 and the height $ h $ is 4. Plugging these values into the formula gives:

V = \frac{1}{3} \pi (3)^2 (4)

Calculating $ (3)^2 $ equals 9. Then the next step is to multiply 9 by 4:

9 \times 4 = 36

Now we have:

V = \frac{1}{3} \pi (36)

To simplify $ \frac{1}{3} \times 36 $, you get 12. Therefore, the equation now reads:

V = 12\pi

For calculating a numerical approximation of $ 12\pi $, we can use the approximation $ \pi \approx 3.14 $:

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