Find the height of the cylinder whose volume is 1.54 m³ and diameter of the base is 140 cm?

Solution:

Let's construct a cylinder with the given dimensions as shown below.

If the height of the cylinder = h

Radius of the base (r) = 140 / 2 cm = 70 cm = 0.7 m

Given that the volume of the cylinder is 1.54 m³

Volume of the cylinder = πr²h

1.54 = (22/7) × 0.7 × 0.7 × h

h = (1.54 × 7) / (0.7 × 0.7 × 22)

h = 1 m

Thus the height of the cylinder is 1 m.

☛ Check: NCERT Solutions for Class 8 Maths Chapter 11

Video Solution:

Find the height of the cylinder whose volume is 1.54 m³ and diameter of the base is 140 cm?

Maths NCERT Solutions Class 8 Chapter 11 Exercise 11.4 Question 5

Summary:

The height of the cylinder whose volume is 1.54 m³ and diameter of the base is 140 cm is 1 m.

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