Eight identical small spheres are melted and recast into one large sphere of the same material. The surface area of the large sphere is how many times the surface area of one small sphere?

Question

Accepted Answer

4 times. Volumes add: 8*4/3*π*r^3 = 4/3*π*R^3 gives R^3 = 8*r^3, R = 2r. Large SA / small SA = (R/r)^2 = 2^2 = 4 times.

Eight identical small spheres are melted and recast into one large sphere of the same material.
The surface area of the large sphere is how many times the surface area of one small sphere?

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More Class 9 Surface Area of a Sphere practice

Eight identical small spheres are melted and recast into one large sphere of the same material.The surface area of the large sphere is how many times the surface area of one small sphere?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Surface Area of a Sphere practice

Eight identical small spheres are melted and recast into one large sphere of the same material.
The surface area of the large sphere is how many times the surface area of one small sphere?