Geometry

Solids

Easy

A cone of height 24 cm and base radius 6 cm is made of modelling clay. A child reshapes it in the form of a sphere. The radius of the sphere is :

3 cm

12 cm

9 cm

6 cm

✅ Correct Option: 4

Volume of cone equals volume of sphere.

$\frac{1}{3}\pi r^2 h = \frac{4}{3}\pi R^3$

$\frac{1}{3}\pi (6)^2(24) = \frac{4}{3}\pi R^3$

$36 \times 24 = 4R^3$

$R^3 = 216$

$R = 6$ cm

2025: 15 May Shift 1

Match List-I with List-II

List-I	List-II
(Figures, etc.)	(Area/Volume/Diagonal etc.)
(A) Surface area of Cube	(I) $\pi(R^2 - r^2)$
(B) Volume of Right pyramid	(II) $a\sqrt{2}$
(C) Area of Circular Ring	(III) $6a^2$
(D) Diagonal of Square	(IV) $\frac{1}{3}$ (area of base) × height

Choose the correct answer from the options given below:

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A cone of height 24 cm and base radius 6 cm is made of modelling clay. A child reshapes it in the form of a sphere. The radius of the sphere is :

Solution

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