Question

The volume of a solid in the form of a cylinder with hemispherical ends whose extreme length is 23 cm and radius 3 cm is

• A. 594 $c{m}^3$
• B. 694 $c{m}^3$
• C. 794 $c{m}^3$
• D. 894 $c{m}^3$

Answer 1

The correct option is A 594 $c{m}^3$

a solid in the form of a cylinder with hemispherical ends whose extreme length is 23 cm and radius 3 cm is

Then volume of hemisphere =$\frac{2}{3}\pi r^3=\frac{2}{3}\pi (3{)}^3=18\pi c{m}^3$

And volume of right circular cylinder =$\pi r^{2}h=\pi (3{)}^2\times 23=153\pi c{m}^3$

Then volume of a solid=2(volume of hemisphere)+volume of right circular cylinder=$2\left(18\pi \right)+153\pi =189\times \frac{22}{7}=594c{m}^3$