Question
The small cylinder can fill the big cylinder to a height of 5 cm. Work out the radius of the big cylinder. square radius=square cm
Answer
4.1
(330 Votes)
Aneira
Master · Tutor for 5 years
Answer
Without the volume of the small cylinder, we cannot calculate the exact radius of the big cylinder. The radius of the big cylinder would be given by the formula
, where
is the volume of the small cylinder.
Explanation
## Step 1: Firstly, we need to understand that the volume of the small cylinder is equal to the volume of the big cylinder up to a height of 5 cm. This is because the small cylinder can completely fill the big cylinder up to this height.## Step 2: The formula for the volume of a cylinder is given by:###
where
is the radius and
is the height of the cylinder. ## Step 3: Given that the height
of the big cylinder is 5 cm, we can solve for the radius
by rearranging the formula:###
## Step 4: Since the volume
of the small cylinder is equal to the volume of the big cylinder up to a height of 5 cm, we can substitute
with the volume of the small cylinder. ## Step 5: Finally, we can calculate the radius
of the big cylinder by substituting the given values into the formula.