Question

A hemisphere and a cone are joined at the end of cylinder the height of cylinder is 30 cm radius is 7 cm and the height of cone is 12 cm find the volume of the object

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

The volume of the object is 5952.26 cm³.

Step-by-step explanation:

It is given that the height of cylinder is 30 cm radius is 7 cm and the height of cone is 12 cm.

The hemisphere and a cone are joined at the end of cylinder, so the radius of cylinder, cone and hemisphere is same, i.e., 7 cm.

The volume of cylinder is

$V_1=\pi r^2h$

$V_1=\pi (7)^2\times (30)$

$V_1\approx 4618.14$

The volume of cylinder is 4618.14 cm³.

The volume of cone is

$V_2=\frac{1}{3}\pi r^2 h$

$V_2=\frac{1}{3}\pi (7)^2 (12)$

$V_2=615.75$

The volume of cone is 615.75 cm³.

The volume of hemisphere is

$V_3=\frac{2}{3}\pi r^3$

$V_3=\frac{2}{3}\pi (7)^3$

$V_3718.37$

The volume of hemisphere is 718.37 cm³.

The volume of object is

$V=V_1+V_2+V_3=4618.14+615.75+718.37=5952.26$

Therefore the volume of the object is 5952.26 cm³.