the slant height and radius of the base of a right circular cone are 50 cm and 14 cm respectively find its curved surface ,total surface and volume
Answers
Given:
- Slant height of a right circular cone = 50 cm
- Radius of the base of a right circular cone = 14 cm.
To find out:
Find the total surface area, Curved surface area and Volume of cone ?
Formula used:
- Total surface area of cone = πr ( l + r )
- Curved surface area of cone = πrl
- Volume of cone = ⅓ πr²h
Solution:
( i ) Total Surface area of cone = πr ( l + r )
= 22/7 × 14 ( 50 + 14 )
= 22 × 2 × 64
= 44 × 64
= 2816 cm²
( ii ) Curved surface area of cone = πrl
= 22/7 × 14 × 50
= 22 × 2 × 50
= 44 × 50
= 2200 cm²
( iii ) Volume of cone = ⅓ × π × r² × h
= ⅓ × 22/7 × (14)² × 50
= 22/21 × 196 × 50
= 215600/21
= 10266.66 (approx)
Given:
Slant height of a right circle cone = 50
Radius of the base of a right circular cone = 14cm
To find out:
find the total surface area, curved surface area and volume of cone?
Formula used:
Total surface area of cone = πr( l + b)
curved surface area of cone = πr²l
volume of cone = 1/3 πr²h
Solutions:
(1) Total surface area of cone
= πr( l + b)
= 22/7 × 14 (50 + 14)
= 22 × 2 × 64
= 44 × 64
= 2516cm²
curved surface area of cone = πr²l
= 22/7 × 14 × 50
= 2200cm²
volume of cone = 1/3 πr²h
1/3 × 22/7 × 14² × 50
22/21 × 196 × 50
215600/21
10266.66 (approx).
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