Question

A cylinder has a diameter of 6 cm and a height of 7 cm. What is the volume of the cylinder? Use 3.14 for pi, and round your answer to the nearest hundredth.

65.94 cm3
131.88 cm3
197.82 cm3
791.28 cm3

Answer 1

197.82 cm³

Explanation:

The volume of a cylinder can be calulated with the formula V = πr²h, where V is the volume, r is the radius and h is the height of the cylinder

We are given that the diameter is 6cm, and since the radius is 1/2 of the diameter, r = 6 ÷ 2 = 3 cm. We also know that h = 7 cm and we are using 3.14 for π.

Therefore if we substitute the values into the formula, V = 3.14 × (3)² × 7 = 197.82 cm³

Hope this helps!

Answer 2

Answer: Given that the diameter of the cylinder is 6 cm, we can find the radius by dividing the diameter by 2. So, the radius (r) is 6 cm / 2 = 3 cm. The height (h) of the cylinder is given as 7 cm. Now we can substitute the values into the formula and calculate the volume: V = 3.14 * (3 cm)² * 7 cm = 3.14 * 9 cm² * 7 cm = 3.14 * 63 cm³ = 197.82 cm³ (rounded to the nearest hundredth) Therefore, the volume of the cylinder is 197.82 cm³, which corresponds to the third option.