Question

A tea vendor gives samples of tea in cone shaped cups. The cups have a diameter of 4 inches and a height of 5 inches. If there are about 0.55 fluid onces in one cubic inch, how many fluid ounces of tea will one sample hold? Round to the nearest tenth

Answer 1

One sample cup will hold 11.51 ounces of fluid.

Step-by-step explanation:

Diameter of cone shaped cup = 4 inches

Radius = $\frac{Diameter}{2}=\frac{4}{2}=2\ inches$

Height of cup = 5 inches

Volume of cone = $\pi r^2 \frac{h}{3}$

Putting values

Volume of cone = $3.14*(2)^2*\frac{5}{3}$

Volume of cone = $3.14*4*\frac{5}{3}=\frac{62.8}{3}$

Volume of cone = 20.93 inches cubed

Amount of fluid in one cubic inch = 0.55 ounces

Amount of fluid in 20.93 cubic inches = 0.55*20.93 = 11.51 ounces

One sample cup will hold 11.51 ounces of fluid.