Question
This paint can holds 2.5 litres. (1 litre=1000cm^3) Work out the radius of the ca n. radius=square cm [3]
Answer
4.5
(194 Votes)
Yancy
Master · Tutor for 5 years
Answer
First, we calculate the volume of the paint can in cubic centimeters:
Then, we substitute the volume into the formula to find the radius:
Explanation
## Step 1:First, we need to convert the volume of the paint can from litres to cubic centimeters. Given that 1 litre equals 1000 cubic centimeters, we can calculate the volume of the paint can in cubic centimeters.###
## Step 2:The volume of a cylinder is given by the formula:###
Where
is the volume,
is the radius, and
is the height. In this problem, we don't know the height of the can, but we can assume that the can is a perfect cylinder, which means the height and the diameter are the same. Therefore, we can rewrite the formula as:###
## Step 3:Now, we can solve the equation for the radius
. ###