Question

How many solid cylinders of radius 10 cm and height 6 cm can be made by melting a solid sphere of radius 30 cm​

Answer 1

Question

How many solid cylinders of radius 10 cm and height 6 cm can be made by melting a solid sphere of radius 30 cm

Solution

The concept goes on solving such questions goes with volume

So we need to take the value of volume .

we are provided with

• Radius of cylinder = 10cm
• height of cylinder = 6m

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Finding volume :

$\red {volume \: of \: cylinder \: = \: \pi \: \times {r}^{2} \times h }$

$volume \: of \: cylinder \: = \: \frac{22}{7} \times {r}^{2} \times h \\ \\ = 113142.857$

Again in the second case , we are provided with :

• Radius of sphere = 30cm

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$\red{volume \: of \: sphere = \frac{4}{3} \times \pi \times {r}^{3} }$

$volume \: of \: sphere = \frac{4}{3} \times \frac{22}{7} \times {30}^{3} \\ \\ = 1885.71$

using direct proportion , we get

$cylinder \: can \: be \: made \: = \: \frac{113142.857}{1885.71 } \\ \\ = 60.001$

Ignoring decimal , we can write :

${ \boxed {\red {\boxed{answer = 60}}}}$

60 cylinders can be made by given data