Question

vessel is in the form of a hemisphere bowl
mounted by a hollow cylinder. The diameter of the
hemisphere is 16 cm and the total of height of the
vessel is 15 cm. Find the capacity of the vessel.
22
take, n =
7​

Answer 1

Answer

• The total volume is 25209.9 cm³

Explanation

Given

• There is vessel made up of a cylinder and a hemisphere
• Diameter = 16 cm
• Height = 15 m

To Find

• Volume of the vessel?

Solution

✭ Volume of hemisphere

→ Volume of hemisphere = ⅔πr³

• R = D/2 = 16/2 = 8

→ Volume = ⅔ × 22/7 × 8³

→ Volume = ⅔ × 22/7 × 512

→ Volume = 1072.8 cm³

✭ Volume of cylinder

→ Volume of cylinder = πr²h

→ Volume = 22/7 × 8² × 15

→ Volume = 22/7 × 512 × 15

→ Volume = 24137.1 cm³

✭ Total Volume

→ Total Volume = Volume of hemisphere + Volume of Cylinder

→ 1072.8 + 24137.1

→ Total Volume = 25209.9 cm³

Answer 2

Given data :

》The total volume is 25209.9 cm³

》There is vessel made up of a cylinder and a hemisphere

》Diameter = 16 cm

》Height = 15 m

To find :

Volume of vessel = ?

Solution:

♥︎ Volume of hemisphere

♥︎ Volume of hemisphere = ⅔πr³

R = D/2 = 16/2 = 8

☆ Volume = ⅔ × 22/7 × 8³

☆ Volume = ⅔ × 22/7 × 512

☆ Volume = 1072.8 cm³

♥︎ Volume of cylinder

☆ Volume of cylinder = πr²h

☆ Volume = 22/7 × 8² × 15

☆ Volume = 22/7 × 512 × 15

☆Volume = 24137.1 cm³

♥︎Total Volume

☆ Total Volume = Volume of hemisphere + Volume of Cylinder

☆1072.8 + 24137.1

☆Total Volume = 25209.9 cm³

So, Your answer is 25209.9cm³

Hope so it will help.......