Find the height of the cylinder whose volume is 1.54m^3 and diameter of the base is 140cm

Mathematics

1 answer:

Gemiola [76]3 years ago

3 0

Answer:

0.7 m or 70 cm

Step-by-step explanation:

We are given;

Volume of a cylinder as 1.54 cm³
Diameter of the base as 140 cm

We are required to determine the height of the cylinder

We need to know how to find the volume of a cylinder.

Volume of a cylinder is given by the formula;

Volume = πr²h

r = d/2 = 70 cm

But, 100 cm = 1 m

thus, radius = 0.7 m

Rearranging the formula;

H = Volume ÷ πr²

= 1.54 m³ ÷ (22/7 × 0.7²)

= 0.7 m

Thus, the height of the cylinder is 0.7 m or 70 cm

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