Question

The surface area of a sphere of radius 5 centimetre is 5 times the curved surface area of a cone of radius 4 centimetre find the height and volume of cone

Answer 1

Solu:- Surface area of sphere=4πr²
= (4π×5×5) cm²
= (100π) cm²
C.S.A of cone= πrl
= (π×4×l) cm²
= (4πl) cm² Therefore; 100π=5×(4πl)=l = 5cm²
Now, l²= h²+r²
5²=h²+4²
h²= √25-16
h²= √9
h = 3 cm
Volume of cone = 1/3πr²h
= 1/3 × 22/7 × 4² × 3
= 1056/21
= 50.28(@pprox)
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