Question

The volume of a cylinder iron rod of length 1m is 3850cmcube find its radius​

Answer 1

Given :-

• The volume of a cylinder iron rod of length 1 m is 3850 cm³.

To Find :-

• What is the radius.

Formula Used :-

$\clubsuit$ Volume of Cylinder Formula :

$\bigstar \: \: \sf\boxed{\bold{\pink{Volume_{(Cylinder)} =\: {\pi}r^2h}}}\: \: \: \bigstar$

where,

• π = Pie or 22/7
• r = Radius
• h Height

Solution :-

First, we have to convert the length of height m into cm :

$\implies \bf Length =\: 1\: m$

$\implies \sf Length =\: 1 \times 100\: cm$

$\implies \sf\bold{\purple{Length =\: 100\: cm}}$

Now, we have to find the radius :

Given :

• Height = 100 cm
• Volume of cylinder = 3850 cm³

According to the question by using the formula we get,

$\implies \bf Volume_{(Cylinder)} =\: {\pi}r^2h$

$\implies \sf 3850 =\: \dfrac{22}{7} \times r^2 \times 100$

$\implies \sf 3850 =\: \dfrac{22}{7} \times 100r^2$

$\implies \sf 3850 \times \dfrac{7}{22} =\: 100r^2$

$\implies \sf \dfrac{26950}{22} =\: 100r^2$

$\implies \sf 1225 =\: 100r^2$

$\implies \sf \dfrac{1225}{100} =\: r^2$

$\implies \sf 12.25 =\: r^2$

$\implies \sf \sqrt{12.25} =\: r^2$

$\implies \sf 3.5 =\: r$

$\implies \sf\bold{\red{r =\: 3.5\: cm}}$

$\therefore$ The radius of a cylinder rod is 3.5 cm .

Answer 2

ven volume of circular iron rod is 3850 cm
3

But we know that Volume of cylinder =πr
2
h
3850=22/7×r×r×100 [as length 1 m=100 cm
r
2
=(3850×7)/(100×22)
r=1.75×7
r=3.5 cm

Therefore diameter =2×r
Diameter =2×3.5=7 cm