a metallic sphere of radius 4.2cm is melted and recast into a shape of cone of radius 6cm. find the height of the cone
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Answered by
14
Radius of sphere = 4.2 cm
Radius of cone = 6cm
so volume of sphere = volume of cone
4/3pi r^3 = 1/3 pir^2h
4/3 ×3/1 ×(4.2)^3 = (6)^2 × h
4 × 74.088 = 36 × h
4× 74.088/36 = h
2.058 × 4 = h
8.232 = h
so , height of cone is 8.2 cm
hope it is helpful to u ☆☆
Radius of cone = 6cm
so volume of sphere = volume of cone
4/3pi r^3 = 1/3 pir^2h
4/3 ×3/1 ×(4.2)^3 = (6)^2 × h
4 × 74.088 = 36 × h
4× 74.088/36 = h
2.058 × 4 = h
8.232 = h
so , height of cone is 8.2 cm
hope it is helpful to u ☆☆
Answered by
4
volume of cone = volume of sphere
1/3 пr²h = 4/3пr³
п cancels on dividing
1/3 * 6*6*h = 4/3*[4.2]* [4.2]* [4.2]
1/3 *36 *h = 4/3 * 74.088
3 cancel on dividing
36 h = 4 * 74.088
h = 4 * 74.088/36
h = 8.232 cm
1/3 пr²h = 4/3пr³
п cancels on dividing
1/3 * 6*6*h = 4/3*[4.2]* [4.2]* [4.2]
1/3 *36 *h = 4/3 * 74.088
3 cancel on dividing
36 h = 4 * 74.088
h = 4 * 74.088/36
h = 8.232 cm
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