Question

A bowl is in the shape of a hemisphere. The radius of the bowl is 10 centimeters. How many liters of water can the bowl hold?

(1,000 cm = 1 liter)

Answer 1

The bowl can hold 2.094 L.

Explanation:

We want to find the volume of the hemisphere to calculate how many liters the bowl can hold. To find the volume of a hemisphere, we use this equation:

V = (2/3)•(π)•(r)³

Let's plug in what we know.

V = (2/3)(π)(10)³

Evaluate the exponent.

V = (2/3)(π)(1000)

Multiply.

V = 666.667π

V = 2094.395 cm³

Remember that 1000 cm = 1 liter, and we want to know how many liters the bowl can hold.

= 2094.395/1000

= 2.094 L

The bowl can hold 2.094 L.

Hope this helps!