Multiple choice

A flower pot in the shape of a frustum with the top and bottom circles of radii $20$ in and $10$ in. Its depth is $30$ in. Find its volume.

  1. $7,100$ $\pi {in}^2$
  2. $7,000$ $\pi {in}^3$
  3. $7,0000$ $\pi {in}$
  4. $8,500$ $\pi {in}^3$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The frustum volume is (1/3)pi h(R^2 + r^2 + Rr). Substituting h = 30, R = 20, and r = 10 gives 10pi(400 + 100 + 200) = 7000pi in^3.

AI explanation

Using the frustum volume formula V = (1/3) * pi * h * (R^2 + r^2 + R*r), substitute the top radius R = 20, the bottom radius r = 10, and the depth h = 30. Calculate the radii components as 20^2 = 400, 10^2 = 100, and 20 * 10 = 200, which sum to 700. Multiply the values to get (1/3) * pi * 30 * 700 = 10 * 700 * pi = 7,000 pi in^3.

Keep practicing — related questions