Question

A solid is in form of cylinder with hemispherical ends. the total height of the solid is 20cm and the diameter of the cylinder is 7cm.Find the total volume of the solid

Answer 1

Answer: 679.5 cm³

Step-by-step explanation:

Volume of solid = Volume of cylinder + Volume of two hemispheres

Height of cylinder = 20 - 2 x (7/2) = 13 , since 7/2 is the hemisphere height at both ends. Removing that from cylinder height.

Volume of solid = $\pi$ r² h + 2 x ( 2 $\pi$ / 3 x r ³)

Volume of solid = $\pi$ x (7/2)² x 13 + 2 x ( 2 $\pi$/ 3 x (7/2)³)

Volume of solid = 500 + 179.50

Volume of solid = 679.5 cm³