Question

(
Find the height of the cylinder whose volume is
1.54 m' and diameter of the base is 140 cm.
(A) 1 meter
(C) 0.25 meter
(B) 0.7 meter​

Answer 1

Answer:-

Height of cylinder= 1 m

Step - by - step explanation:-

To find :-

Find height of cylinder.

Given:-

$volume \: \: of \: cylinder = 1.54 \: {m}^{3} \\ diameter \: of \: the \: base \: = 140 \: cm \\ \therefore \: radius \: (r) = 70 \: cm \: \: or \: 0.7 \: m$

Solution:-

We know that

$volume \: of \: cylinder = \pi \: {r}^{2} h \\ \\ \implies \: 1.54 = \frac{22}{7} \times 0.7 \times 0.7 \times h \\ \\ \implies \: h = \frac{1.54 \times 7}{22 \times 0.7 \times 0.7} \\ \\ \implies \: h = \frac{154 \times 7 }{22 \times 7 \times 7} \\ \\ \implies \: h \: = \frac{22}{22} \\ \\ \implies \: \boxed{ \red{h = 1 \: m}}$