Question

find the surface area of a sphere whose volume is 4851 cubic metres

Answer 1

volume of sphere =4/3πr³
                         =4851
4/3πr³ = 4851
r³=4851×3/4×1/π
r³=1157.625
r=10.5
surface area of sphere=4πr²
                                =4×22/7×10.5×10.5
                                =1386 sq.m

Answer 2

Surface area of sphere $=1385.44 m^2$

Given:

The “volume of the sphere” is 4851 cubic metres

To find:

The “surface area of the sphere”.

Answer:

$The \quad volume \quad of \quad spheres =\frac { 4 }{ 3 } \pi { r }^{ 3 }=4851{ m }^{ 3 }$

${ r }^{ 3 }=\frac { (4851\times 3) }{ (\pi \times 4) }$

${ r }^{ 3 }=\frac { 14553 }{ 4\pi }$

${ r }^{ 3 }=1157.625$

$r = 10.5 m$

$Surface \quad area \quad of \quad sphere =4 \pi { r }^{ 2 }$

$=4\pi \times { \left( 10.5 \right)  }^{ 2 }$

$Surface \quad area \quad of \quad sphere =1386 m^2$

A “sphere” is a 3 dimensional geometry with a perfect round. It can be characterised from the midpoint of the sphere as the radius.