CUET General Test - 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? | PYQs + Solutions

CUET General Test 2025 2 June Shift 2

Geometry

Medium

1 cm

√2 cm

√3 cm

3 cm

✅ Correct Option: 2

Related questions:

2 June Shift 2

If the ratio of the radii of the sphere and hemisphere is √3:2, then determine the ratio of their total surface area?

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.)

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If a cone and sphere have equal radii and volumes, then determine the ratio of the diameter of the sphere to the height of the cone?

CUET General Test 2025 2 June Shift 2 PYQs