Question

7. The volume of a right circular cylinder with its height equal to the
radius is 176/7cm. Find the height of the cylinder.​

Answer 1

Answer:

Step-by-step explanation:

Volume of cylinder= 176/7 cm cube

πr2h= 176/7

22/7×r×r×h=176/7

22/7×h×h×h=176/7

22/7×h3 =176/7

22×h3=176

h3= 176/22

h3= 8

h=2cm. Ans.

Answer 2

The height of cylinder is 2 cm

Solution:

The volume of cylinder is given as:

$Volume = \pi r^2h$

Where,

r is the radius

h is the height

From given,

$voolume = \frac{176}{7}\\\\h = r$

Substituting in formula,

$\frac{176}{7} = \frac{22}{7} \times h^2 \times h\\\\h^3 = \frac{176}{22}\\\\h^3 = 8\\\\h = 2$

Thus height of cylinder is 2 cm

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