Question

The radius of bases of two cylinder are in the ratio 3.4 and height 4.3 find ratio of their volumes
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Answer 1

S O L U T I O N :

$\underline{\bf{Given\::}}$

The radius of bases of two cylinder are in the ratio 3:4 & height also in ratio 4:3.

$\underline{\bf{Explanation\::}}$

As we Know that formula of the volume of cylinder;

$\boxed{\bf{Volume = \pi r^{2} h \:\:\: (cunic\:unit)}}$

A/q

$\longrightarrow\tt{\pi r^2 h : \pi r'^2 h' }$

$\longrightarrow\tt{\dfrac{\pi r^{2} h}{\pi r'^{2}h' } }$

$\longrightarrow\tt{\dfrac{\pi \times (3 )^{2}\times 4 }{\pi \times (4)^{2} \times 3 } }$

$\longrightarrow\tt{\dfrac{\cancel{\pi} \times (3 )^{2}\times 4 }{\cancel{\pi} \times (4)^{2} \times 3 } }$

$\longrightarrow\tt{\dfrac{ 9\times 4 }{ 16 \times 3 } }$

$\longrightarrow\tt{\dfrac{36 }{ 48 } }$

$\longrightarrow\tt{\cancel{\dfrac{36 }{ 48 } }}$

$\longrightarrow\tt{\cancel{\dfrac{9 }{ 12 } }}$

$\longrightarrow\tt{\dfrac{3}{ 4 } }$

Thus,

The ratio of their volume will be 3:4 .