CUET General Test - A right circular metal cone (solid) is 42 cm high and its radius is 21/2 cm. It is melted and recast into a sphere. Then the radius of the sphere will be: | PYQs + Solutions

CUET General Test 2025 26 May Shift 1

Geometry

Medium

$\frac{21}{2}$

✅ Correct Option: 1

Related questions:

14 May Shift 1

Match the given areas of various solid objects with their respective formulae:

List I	List II
Area of solid object	Formula
(A) Lateral surface area of a cylinder	(I) $\pi r\sqrt{r^2 + h^2}$
(B) Total surface area of a hemisphere	(II) $4\pi r^2$
(C) Lateral surface area of a cone	(III) $2\pi rh$
(D) Surface area of a sphere	(IV) $3\pi r^2$

(Where, r = radius of the solid shape (or base) and h = height of the solid shape.)

Choose the correct answer from the options given below:

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A solid, metallic right circular cone of radius 7 cm and height 3 cm is melted into three cubes. If the sides of two cubes are 3 cm and 5 cm, then the side of the third cube will be how much?

CUET General Test 2025 26 May Shift 1 PYQs

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