Question

Find the volume , CSA and TSA of a cone whose height is 6 cm and slant height is 10 cm . ( π = 3. 14 )​

Answer 1

Step-by-step explanation:

Given :

Height Of Cone = 6 cm

Slant Height Of Cone = 10 cm

π = 3.14

Find :

Volume of Cone

CSA and TSA

Solution :

radius = √ l^2 - b^2

radius = √ 10^2 - 6^2

radius = √ 100 - 36

radius = √ 64

radius = 8 cm

By Using Formula

Volume of Cone = π r^2 h

Volume of Cone = 1/3 × 3.14 × 8^2 + 6

Volume of Cone = 1/3 × 3.14 + 64 +6

Volume of Cone = 401.92 cm^3

Curved surface area of Cone

= π r l

= 3.14 × 8 × 10

= 251. 2 cm^2

Therefore

Total surface area of Cone

π r l + π r^2

= 251.2 + 3.14 × 8 ^2

= 251.2 + 3.14 × 64

= 452 . 16 cm^2

The Volume of Cone is 401.92 cm^3

Curved surface area of Cone 251.2 cm^2

Total surface area of Cone 452.16 cm^2