Radius and volume of cone and cylinder are same.Radius and height of cylinder of cylinder are 7 cm and 10 cm respectively.Find the height of the cone.
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r=r=7
v=v
H(height of cylinder)
volume of the cylinder=[tex] \pi r^{2} H \\ \frac{22}{7} *49*10 \\ 220*7=1540 cm ^{3} \\ [/tex]
volume of the cone=[tex] \frac{1}{3} \pi 7^{2} h \\ \\ \frac{1}{3} * \frac{22}{7}* 49*h=1540 \\ \\ 51.33*h=1540 \\ h=30.0019[/tex]
height of the cone=30.0019
v=v
H(height of cylinder)
volume of the cylinder=[tex] \pi r^{2} H \\ \frac{22}{7} *49*10 \\ 220*7=1540 cm ^{3} \\ [/tex]
volume of the cone=[tex] \frac{1}{3} \pi 7^{2} h \\ \\ \frac{1}{3} * \frac{22}{7}* 49*h=1540 \\ \\ 51.33*h=1540 \\ h=30.0019[/tex]
height of the cone=30.0019
piyushchandele12:
sorry to say but answer is 6
no way..my answer is correct
the cone's h will be greater than cylinder's h
sorry the correct answer is 30 cm
u can do it....
30.0019=30
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