Question

find the volume of cylinder with radius 3 and lateral area 10

Answer 1

First you need to use the formula

2πhr=a

since you know everything except for the height you can solve for h

2πh3=10

divide by 2

3πh=5

divide by 3π

h=5/3π

h=.530

Now you have height and lateral area

so you can use the formula

πa²h=v

where a is the lateral surface area, h is the height and v is volume

This works out to be a volume of

1.746 units squared

Answer 2

what is the volume of the cylinder? write the answer in terms of pi. round to the nearest tenth, if needed

Answer 3

find the volume of cylinder of diameter 6 cm and stroke length of 20 cm