If volume and surface area of a sphere is numerically equal, then its radius is
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if radius is R unit ,than volume=4πr^3/3
surface area is 4πr^3
4πr^3/3=4πr^2
r^3=4πr^2×3/4π
r^3=3r^2
r^3-3r^2=0
r^2(r-3)=0
r^2=0 or r-3=0
r=0 (sphere won't exist)
or r=3 units
it is the acceptable answer.
hope it will help to clarify ur doubt.
surface area is 4πr^3
4πr^3/3=4πr^2
r^3=4πr^2×3/4π
r^3=3r^2
r^3-3r^2=0
r^2(r-3)=0
r^2=0 or r-3=0
r=0 (sphere won't exist)
or r=3 units
it is the acceptable answer.
hope it will help to clarify ur doubt.
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