Question

A flower bucket in the shape of a frustum cone with the top and bottom circles of radii $5$ in. and $10$ in. It's depth is $15$ in. Find its volume.

• A. $375\pi i{n}^3$
• B. $475\pi i{n}^3$
• C. $875\pi i{n}^3$
• D. $675\pi i{n}^3$

Answer 1

The correct option is C $875\pi i{n}^3$

Volume of the frustum cone = $\frac{1}{3}\pi h(R^2+r^2+Rr)$
= $\frac{1}{3}\pi \times 15({10}^2+5^2+50)$
= $\frac{1}{3}\pi \times 2625$
= $875\pi i{n}^3$