A solid frustum of radii 10 cm and 5 cm and height 12 cm is melted and recast into solid spheres of radius 1 cm each. How many complete spheres can be made? (Use π as common factor; sphere volume = 4/3*π*r^3.)

Question

Accepted Answer

525. Frustum V = 1/3*π*12*(100 + 25 + 50) = 1/3*π*12*175 = π*4*175 = 700*π. Each sphere = 4/3*π*1 = 4/3*π. Number = 700*π4/3*π = 700*3/4 = 525 spheres.

A solid frustum of radii 10 cm and 5 cm and height 12 cm is melted and recast into solid spheres of radius 1 cm each.
How many complete spheres can be made? (Use π as common factor; sphere volume = $\frac{4}{3}$ π $r^{3} .$ )

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More Class 10 Frustum of a Cone practice

A solid frustum of radii 10 cm and 5 cm and height 12 cm is melted and recast into solid spheres of radius 1 cm each.How many complete spheres can be made? (Use π as common factor; sphere volume = 34​*π*r3.)

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Frustum of a Cone practice

A solid frustum of radii 10 cm and 5 cm and height 12 cm is melted and recast into solid spheres of radius 1 cm each.
How many complete spheres can be made? (Use π as common factor; sphere volume = $\frac{4}{3}$ π $r^{3} .$ )