How many shots,each having a diameter of 3 , | vedclass

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Question

(A) Given,dimensions of the cuboid $= 9 \, cm 	imes 11 \, cm 	imes 12 \, cm$. Volume of the cuboid $= 9 	imes 11 	imes 12 = 1188 \, cm^3$. Diamete

Vedclass · Accepted Answer

$84$

Vedclass · Answer

(A) Given,dimensions of the cuboid $= 9 \, cm 	imes 11 \, cm 	imes 12 \, cm$. Volume of the cuboid $= 9 	imes 11 	imes 12 = 1188 \, cm^3$. Diameter of the spherical shot $= 3 \, cm$. Radius of the shot,$r = \frac{3}{2} = 1.5 \, cm$. Volume of one spherical shot $= \frac{4}{3} \pi r^3 = \frac{4}{3} 	imes \frac{22}{7} 	imes (1.5)^3$. Volume of one shot $= \frac{4}{3} 	imes \frac{22}{7} 	imes 3.375 = \frac{99}{7} \approx 14.143 \, cm^3$. Number of shots $= \frac{	ext{Volume of cuboid}}{	ext{Volume of one shot}} = \frac{1188}{99/7} = \frac{1188 	imes 7}{99} = 12 	imes 7 = 84$. Thus,$84$ shots can be made.

How many shots,each having a diameter of $3 \, cm$,can be made from a cuboidal lead solid of dimensions $9 \, cm \times 11 \, cm \times 12 \, cm$?

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