Math, asked by tanushree27, 1 year ago

If the volume and surface area of a sphere are numerically equal then how much is its radius? for 1 marks

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Answered by utkarshsaxenagzb

Answer:

Step-by-step explanation:

V of sphere = SA of sphere

(4/3)(pi)(r^3) = 4(pi)(r^2) — and then the 4s and pis cancel, leaving

(1/3)(r^3) = r^2 — next, multiply both sides by 3

r^3 = 3(r^2) — finally, divide both sides by r^2

r = 3

The radius of the sphere is 3.

mbuhril3: Volume is 4/3 *pi*r^3
Surface is 4*pi*r^2
When (in units) the surface equals the volume, the radius must be:
4/3 * pi * r^3 = 4 * pi * r^2
r = 3

utkarshsaxenagzb: so what i wrote

Answered by braner

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If the volume and surface area of a sphere are numerically equal then how much is its radius? for 1 marks