A Hemisphere of Lead of Radius 7 Cm is Cast into a Right Circular Cone of Height 49 Cm. Find the Radius of the Base. - CBSE Class 9 - Mathematics
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A hemisphere of lead of radius 7 cm is cast into a right circular cone of height 49 cm. Find the radius of the base.
Given radius of hemisphere = 7cm = `r_1`
Height of cone h = 49cm
Volume of hemisphere = Volume of cone
⇒ `2/3πr_1^3 = 1/3πr_2^2h`
∴ Radius of the base =3.74cm.
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Solution A Hemisphere of Lead of Radius 7 Cm is Cast into a Right Circular Cone of Height 49 Cm. Find the Radius of the Base. Concept: Volume of a Sphere.