Question

A solid is made by joining
a hemisphere and a Cone
at the same radius.
it's Common radius is
9 cm and the total height
is 21 cm.
A) what is the height of the Cone ?
B) find the volume of the hemisphere?
C)find the volume of the cone?
D)what is the total volume? ​

Answer 1

Answer:

A) 12 cm

B) 1527.43 cu. cm

C) 1018.29 cu. cm

D) 2545.72 cu. cm

Step-by-step explanation:

A)The total height is 21 cm.

   The radius(9cm) of the hemisphere serves as the height of the hemisphere.

   So, the height of the cone = 21 - 9 = 12 cm.

B) Volume of the hemisphere = $\frac{2}{3} \pi r^{3}$ = $\frac{2}{3} .\frac{22}{7}.9.9.9$ = 1527.43 cu.cm

C) Volume of the cone = $\frac{1}{3} \pi r^{2} h$ = $\frac{1}{3}. \frac{22}{7} . 9.9.12$ = 1018.29 cu. cm

D) Total volume = 1527.43 + 1018.29 = 2545.72 cu. cm