Question

A right circular cylinder is 4.1 cm high the radius of the base is 2.1cm another right circular cone is 4.3cm high and the radius of base is 2.1cm another right circular cone is 4.3cm high and the radius of the base is4 cm both the cone meltef and recast into a sphere

Answer 1

Given that, volume of sphere =
volume of two cones
Here, volume of two cones = 1/3 x pi x (2.1)^2 x 4.1 + 1/3 x pi x (2.1)^2 x 4.3
=> 1/3 x pi x (2.1)^2 x 8.4
Let the radius of the sphere be R.
Then 4/3 x pi x R^3 = 1/3 x pi x (2.1)^2 x 8.4
4 x R^3 = (2.1)^2 x 2.1 x 4
4 x R^3 = (2.1)^3 x 4
R = 2.1
Hence, the diameter is 4.2 units.

Answer 2

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