Patricia wants to take tea on a walking trip with her friends. They plan to use cone shaped cups that have a height of 3 inches and a radius of 2 inches. She wants to use a thermos that is a cylinder that has a radius of 4 inches and a height of 10 inches. How many cups of tea would they be able to have?

They would have 40 cups

Step-by-step explanation:

To calculate this, we shall need to first calculate the volume of the two shapes

For the cone,

The formula to use is V = 1/3 * π * r^2 * h

Here r is 2 inches and h is 3 inches

Thus, V = 1/3 * π * 2^2 * 3 = 4 π inches ^3

For the cylinder,

the formula to use is

V = π * r^2 * h

where r is 4 inches and h is 10 inches

Plugging these values we have

V = π * 4^2 * 10 = 160 π inches^3

To get the number of cups of tea, we need divide the volume of the cylinder by that if the cones and that would be 160 π/4 π = 40 cups