Question

Find the volume of a cylinder with a radius of 5 cm and a height of 10 cm. Then, find the volume of the cylinder if the radius is increased to 10 cm. Leave your answers in term of pi.

Answer 1

Volume of a cylinder can be found using the equation:
$v= \pi r^{2} h$
where v = volume of cylinder, r = radius, and h = height of cylinder.

1) Radius = 5 cm, height = 10 cm. Plug these values into the equation.
$v= \pi 5^{2} (10) = 250 \pi$

2) Radius = 10 cm, height = 10 cm. 
$v= \pi 10^{2} (10) = 1000 \pi$

Answer 2

Volume of cylinder is 250πcm³ and volume of the new cylinder is 1000πcm³.

How to determine the volume of the cylinder?

The volume of the cylinder can be determined by multiplying area of base with height of the cylinder.

V=πr²*h

where r is the radius of base of the cylinder and h is the height of the cylinder.

following this above formula in given problem,

radius of the base of the cylinder=  5cm

height of the cylinder=10cm

volume= V=πr²*h= π5²*10= 250π cm³

Now the radius of the cylinder is increased to 10cm.

now r=10cm

height of the cylinder=10cm

volume= V=πr²*h= π10²*10= 1000π cm³

Therefore volume of cylinder is 250πcm³ and volume of the new cylinder is 1000πcm³.

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