Question

A solid is in shape of a cone standing on a hemisphere with the both their radii being equal to 1cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of π​

Answer 1

Given :

• A solid is in shape of a cone standing on a hemisphere with the both their radii being equal to 1cm and the height of the cone is equal to its radius.

To Find :

• The volume of solid in terms of π = ?

Solution :

• Height of the cone = 1 cm
• Radius of the cone = 1 cm
• Radius of hemisphere = 1 cm

⚽ Formula used :

• Volume of cone = ⅓ πr²h
• Volume of hemisphere = ⅔ πr³

★ First of all we will find the volume of cone :

→ Volume of cone = ⅓ πr²h

→ Volume of cone = ⅓ × π × (1)² × 1

→ Volume of cone = ⅓ × π × 1 × 1

→ Volume of cone = π/3 cubic units

• Hence,the volume of the cone is π/3 cubic units.

★ Finding the volume of hemisphere :

➻ Volume of hemisphere = ⅔ πr³

➻ Volume of hemisphere = ⅔ × π × (1)³

➻ Volume of hemisphere = 2π/3 cubic units

• Hence,the volume of the hemisphere is 2π/3 cubic units.

★ Now,let's find the volume of solid :

➺ Volume of solid = Volume of cone + Volume of hemisphere

➺ Volume of solid = π/3 + 2π/3

➺ Volume of solid = π + 2π ÷ 3

➺ Volume of solid = 3π ÷ 3

➺ Volume of solid = π cubic units

• Therefore, the volume of the solid is π cubic units .

Answer 2

Answer:

Here is ur ansr mate....

Step-by-step explanation: