A sphere of radius 9 cm is moulded to form a cylinder of radius 3 cm . Find the height of the cylinder. - Quantitative Aptitude MCQ UP Police Constable 2026 | ExamTest.live

mediumMCQUP Police Constable2026Quantitative Aptitude

1 mark

A sphere of radius 9 cm is moulded to form a cylinder of radius 3 cm . Find the height of the cylinder.

Solution & Step-by-step Explanation

1. When an object is remoulded, its volume remains constant. Volume of Sphere = Volume of Cylinder \frac{4}{3} π R^{3} = π r^{2} h 2. Cancel π from both sides and substitute the given values (R = 9 cm, r = 3 cm): \frac{4}{3} \times (9)^{3} = (3)^{2} \times h \frac{4}{3} \times 729 = 9 \times h 4 \times 243 = 9 h 972 = 9 h ⟹ h = \frac{972}{9} = 108 cm

Try it yourself before checking the explanation above.

A sphere of radius 9 cm is moulded to form a cylinder of radius 3 cm . Find the height of the cylinder.

54 cm

108 cm

162 cm

216 cm

Practice with timed mock tests and track your performance across Quantitative Aptitude.