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  • The radii of the ends of a frustum of a cone 45cm high are 28cm and 7cm. Find the ratio between the volume of a frustum of a cone and larger cone (given cone). ?

The radii of the ends of a frustum of a cone 45cm high are 28cm and 7cm. Find the ratio between the volume of a frustum of a cone and larger cone (given cone). ?

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Consider;the;figure\* Rightarrow frach45=frac287Rightarrow h= 45 imes 4=180;cm\* volume;of;frustum;of;cone=frac13 imes pi imes 45(28^2+7^2+28 imes 7)\* Volume;of;bigger;cone=frac13 imes pi imes (28)^2 imes 180\* ratio;of;volume;of;frustum;of;one;and;bigger;cone=\*Rightarrow fracfrac13 imes pi imes 45(28^2+7^2+28 imes 7)frac13 imes pi imes (28)^2 imes 180=frac45(784+49+196)784 imes 180\* Rightarrow frac45 imes 1029784 imes 180=0.328approx frac13\* So,;the;ratio;between;the;volume;of;a;frustum;of;a; cone \*and ;larger ;cone;1:3

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Deependra Verma

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