Question

Find the height of the cylinder whose volume is 2.31m³ and diameter of the base is 140cm...​

Answer 1

1 m

Let h be the height of cylinder whose radius,

r=

2

140

cm=70cm=

100

70

m=0.7m

and volume =1.54m

3

.

Now, volume =1.54cm

3

⇒πr

2

h=1.54

⇒

7

22

×0.7×0.7×h=1.54

⇒h=

22×0.7×0.7

1.54×7

=1

Hence, the height of the cylinder is 1m.

Answer 2

Step-by-step explanation:

Given:

• Volume of cylinder=2.31 m cu...
• Diameter of base=140 cm

.°. Radius of base,r=140/2

=70cm

=0.7m

Volume of cylinder

$\pi \times r {}^{2} \times h \\ 2.31 = \frac{22}{7} \times 0.7 \times 0.7 \times h \\ h = \frac{2.31 \ \times 7}{22 \times 0.7 \times 0.7} \\ h = 1.5 \: m$

Ans.) The height of cylinder is 1.5 m