A cylinder has a volume of 175 cubic units and a height of 7 units. The diameter of the cylinder is?
5 units, 10 units, 12.5 units

Solution:

To find the diameter of the cylinder with the given dimensions, we will use the formula volume of the cylinder is πr²h.

Substitute the values of volume and h in the formula.

175 = 3.14 × r² × 7 [Take π = 3.14]

Divide both sides by 7

25 = 3.14 × r²

Divide both sides by 3.14

r² = 7.95

Take square root on both sides.

√ r² = √ 7.95

radius, r = 2.81 cm

Since we know that the diameter is 2r.

Therefore, d = 2 × 2.81

d = 5.64 cm

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A cylinder has a volume of 175 cubic units and a height of 7 units. The diameter of the cylinder is?
5 units, 10 units, 12.5 units

Summary:

The diameter of a cylinder with a volume of 175 cubic units and a height of 7 units is 5.64 cm.