Question

A bowl is in the shape of a hemisphere (half a sphere) with a diameter of 8 inches. Find the volume of the bowl. Use 3.14 for pi.

Answer 1

Answer: 267.947 (or 267.95) inches^3

Step-by-step explanation:

The formula for the volume of a sphere is $\frac{4}{3}\pi r^{3}$.

To find your radius (r), divide the diameter of 8 inches by 2. The radius is 4 inches.

Plug in your numbers to the volume equation to get $\frac{4}{3} (3.14)(4^3)$. The first step is to cube 4 (4*4*4) to get 64. Now your equation is $\frac{4}{3}(3.14)(64)$.

Multiply 3.14 and 64 to get 200.96. The equation is now $\frac{4}{3}(200.96)$ or $\frac{4}{3} * \frac{200.96}{1}$.

Multiply the numerators (4 * 200.96) and denominators (1 * 3) to get a final equation of $\frac{803.84}{3}$.

Finally, divide 803.84 by 3 to get the final answer of 267.947 in^3.