A cone-shaped paper cup can hold 35 cubic inches of food. If the radius of the cone is 2.4 inches, what is the height of the cone? Use 3.14 for pi. Round your answer to the nearest hundredth.
5.81 inches
6.57 inches
7.89 inches
8.89 inches

Question

A cone-shaped paper cup can hold 35 cubic inches of food. If the radius of the cone is 2.4 inches, what is the height of the cone? Use 3.14 for pi. Round your answer to the nearest hundredth. 
 5.81 inches
 6.57 inches
 7.89 inches
 8.89 inches

sstradic · Answer

plz help

campbell_st · Answer

so the formula for volume of a cone is 

$$V = \frac{1}{3}\pi r^2 h$$

you know V = 35, r = 2.4   and pi = 3.14.   so substitute the values and solve for h