Question

a cone is prepared with sand then its converted into cylinder of height 10 cm with same radius of cone find the height of cone​

Answer 1

Step-by-step explanation:

let , H= height of cone

h = height of cylinder

r = same for both as given

By condition,

volume of cone = volume of cylinder

1/3πr^2H. = πr^2h

cancel the same terms

1/3 * H. = h

1/3.* H. = 10

H. 30cm

height of cone is 30 cm

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Answer 2

Step-by-step explanation:

Let the height of cone = h

Radius of cone = cylinder =r

$volume \: of \: cone \: = \frac{1}{3} \pi {r}^{2} h \\ volume \: of \: cylinder \: = \pi {r}^{2} h \\ \\ now \: volume \: remains \: constant \\ \\ volume \: of \: cone = volume \: of \: cylinder \\ \frac{1}{3} \pi {r}^{2} h \: = \pi {r}^{2} \times 10 \\ h = \: \: \: 3 \: \times 10 \\ h = 30 \: cm \: \: \: \: ans.$