The ratio of volume and total surface area of sphere of radius 5 cm
Answers
Answer:
a
Step-by-step explanation
For a sphere, surface area is S= 4*Pi*R*R, where R is the radius of the sphere and Pi is 3.1415... The volume of a sphere is V= 4*Pi*R*R*R/3. So for a sphere, the ratio of surface area to volume is given by: S/V = 3/R.
Answer:
1.7
Step-by-step explanation:
first find the volume of sphere
We know that volume of sphere = 4/3 πr^3
substitute the value of r i.e r=5 in the formula
volume= 4/3 π 5^3
= 4/3 × 3.14 × 125
volume of sphere = 523.6 cm^3
find the surface area of sphere
We know that surface area of sphere= 4πr^2
substitute the value of r in the formula i.e
surface area of sphere = 4×π×5^2
= 4×3.14×25
surface area of sphere = 314.16 cm^2
for ratio divide volume by surface area
therefore, ratio = volume/surface area i.e
ratio = 523.6/314.16
ratio =1.7