Question

A solid is in the shape of cone surmounted on a hemisphere . the radius of each of them is 3.5cm and the total height of solid 9.5 cm .find volume of solid

Answer 1

the correct answer is 134.16

Answer 2

Answer:

The volume of the solid is 166.83 cm cube.

Step-by-step explanation:

Given : A solid is in the shape of cone surmounted on a hemisphere. The radius of each of them is 3.5 cm and the total height of solid 9.5 cm.

To find : The volume of the solid?

Solution :

Total height of the solid= 9.5 cm

Radius of the cone = Radius of the hemisphere = r = 3.5 cm

Radius of the hemisphere = height of hemisphere = 3.5 cm

Let, Height of cone (h) = total height of the solid - height of hemisphere

i.e,  h= 9.5- 3.5=6 cm

So, Height of cone is 6 cm.

Volume of solid = Volume of cone + Volume of hemisphere

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

$V= \frac{1}{3}\pi r^2[h+2r]$

$V= \frac{1}{3}\times\frac{22}{7}\times 3.5\times 3.5\times[6+2\times 3.5]$

$V= \frac{1}{3}\times\frac{22}{7}\times 3.5\times 3.5\times[6+7]$

$V= \frac{1}{3}\times\frac{22}{7}\times 3.5\times 3.5\times 13$

$V= \frac{500.5}{3}$

$V= 166.83 cm^3$

Hence, The volume of the solid is 166.83 cm cube.