35 .....
9. Fill in the blank :- 45 = 9
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Radius of the sphere (r1) = 5 cm
Radius of the base of cone (r2) = 4 cm
Let r сm be the height of the cone.
Surface area of sphere = 4πr2 ⇒ 4π(5)2 = 100π cm2
Curved surface area of cone = πrl = 4πl cm2
where l is the slant height of the cone.
According to the statement,
100π = 5(4πl) ⇒ l = 5 cm
Now, h2 = l2 - r2 = 52 – 42 = 32 ⇒ h = 3 cm
∴ Volume of cone = 1/3πr2h = 1/3 x 22/7 x 42 x 3
= 352/7 cm3 = 50.29 cm3 (Approximately
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