the diameter of a metallic sphere is 4.2 cm.it is melted and recast into a right circular cone of height 8.4 cm.find the radius of the base of the cone
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11
Answer:
2.1 cm
Explanation:
Given The diameter of a metallic sphere is 4.2 cm.it is melted and recast into a right circular cone of height 8.4 cm.find the radius of the base of the cone
Now we know that radius = d/2 = 4.2/2 = 2.1
height of cone is 8.4 cm
We know that volume of cone = 1/3 π r^2 h
volume of sphere = 4/3 π r^3
Now volume of cone is equal to volume of sphere
1/3 π r^2 h = 4/3 π r^3
22 x 8.4 x r^2 / 21 = 88 x (2.1)^3 / 21
184.8 r^2 = 814.968 / 184.8
r^2 = 4.41
r = 2.1 cm
Radius of the base of the cone is 2.1 cm
Answered by
3
Answer:
2.1cm will be the correct answer hope it helps you
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