Find the volume of a cylinder correct to one decimal place if its diameter is $$4 cm and its height is $$20 cm.
Question
Find the volume of a cylinder correct to one decimal place if its diameter is 4 cm and its height is 20 cm.
Solution
The volume V of a cylinder can be found using the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder.
Step 1: Find the radius of the cylinder. The diameter is given as 4 cm, so the radius r is half of the diameter, which is 4/2 = 2 cm.
Step 2: Substitute the radius and the height into the volume formula. So, V = π*(2 cm)²*(20 cm) = 80π cubic cm.
Step 3: To get the volume correct to one decimal place, calculate the numerical value of 80π. Using the approximation π ≈ 3.14, we get V ≈
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