A prop for the theater club's play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi. Complete
sentences

Volume of the prop = 706.5 in³

Step-by-step explanation:

Volume of the prop given in the picture = Volume of hemisphere + Volume of the cone

Volume of the hemisphere =

where 'r' = radius of the hemisphere

For r = 5 in,

Volume of the hemisphere =

                                             = 261.67 in³

Volume of a cone =

Here r = radius of the circular base

h = height of the cone

For 'r' = 5 in and h  17 in.

Volume of the cone =

                                  = 444.83 in³

Volume of the prop = 261.67 + 444.83

                                 = 706.5 in³

  or  

step-by-step explanation:

if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

the expression is   or