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.

Volume of cone formula: V = PI x r^2 x h/3

Volume of sphere formula: 4/3 x PI x r^3

Cone: 3.14 x 9^2 x 9/3 = 763.02 cubic inches

1/2 sphere: 1/2 x 4/3 x 3.14 x 9^3 = 1526.04 cubic inches.

Total volume : 1526.04 + 763.02 = 2289.1 cubic inches

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)