square base of the pyramid lies on the base of the cylinder – Discussion Forum

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Ayushree

Asked: October 6, 2026In: Class 9 Maths

We have a cylinder with a base radius of r cm and height h cm. A square pyramid is fitted inside it. The square base of the pyramid lies on the base of the cylinder, its corners on the boundary of the cylinder. The apex of the pyramid lies on the top of the cylinder. Find the ratio of the volume of this pyramid to the volume of the cylinder.

The inscribed square base has diagonal 2r and area (2r)² / 2 = 2r². Pyramid volume is (1/3)(2r²)h = (2/3)r²h. Cylinder volume is πr²h. Their volume ratio is 2 : 3π. Cbse Class 9 Maths Ganita Manjari Part 2 Solutions Class ...