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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. - CBSE Class 9 - Mathematics

ConceptVolume of a Sphere

#### Question

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.

#### Solution

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

⇒ 2/3xx7^3=1/3r_2^2xx49

⇒ (2xx7xx7xx7xx3)/(3xx49)=r_2^2

⇒r_2^2=3.74cm

∴ Radius of the base =3.74cm.

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#### APPEARS IN

RD Sharma Solution for Mathematics for Class 9 by R D Sharma (2018-19 Session) (2018 to Current)
Chapter 21: Surface Areas and Volume of a Sphere
Ex.21.20 | Q: 16 | Page no. 21
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.
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