Question

Find the height of cylinder whose volume of 1.54m³ and diameter0f the base is 140 cm*


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Answer 1

Step-by-step explanation:

$v = 1.54 {m}^{3} \\ d = 140cm \\ d = 1.40 {m} \\ r = \frac{d}{2} \\ r = \frac{1.40}{2} \\ r = 0.7m \\ v = \pi \times {r}^{2} \times h \\ 1.54= 3.14 \times 0.7 \times 0.7 \times h \\ \frac{1.54}{3.14 \times 0.7 \times 0.7} = h \\ h = \frac{154}{314 \times. 49} \\ h = \frac{15400}{314 \times 49} \\ h = \frac{314.28}{314} \\ = 1.0008 \: m$

Answer 2

Answer:

Given that,

Volume=1.54m³ =154cm³

diameter=140cm

so radius=70

A.T.Q.,

Volume of cylinder= 22/7×r²×h

154 = 22/7×70×70×h

154 = 15400×h

154/15400 = h

0.01 = h

So height of the cylinder is 0.01cm or 1m