What is the volume of a cylinder, in cubic cm, with a height of 7cm and a base diameter of 10cm? Round to the nearest tenths place
Question
What is the volume of a cylinder, in cubic cm, with a height of 7cm and a base diameter of 10cm?
Round to the nearest tenths place.
Solution
The volume of a cylinder can be calculated 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. The diameter of the base is given as 10 cm, so the radius (which is half the diameter) is 5 cm.
Step 2: Substitute the radius and the height into the formula. So, V = π * (5 cm)² * 7 cm.
Step 3: Calculate the volume. V = π * 25 cm² * 7 cm = 550 cm³.
So, the volume of the cylinder is approximately 550 cubic cm, rounded to the nearest tenth.
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