Question

The radius and height of a right circular cone are in the ratio of 3 ratio 9 if its volume is 87485 M cube find its height and radius

Answer 1

read the ratio be X
so radius equal to 3 x
height equal to 9x
$vol = 1 \: by \: 3 \: \pi \: r {}^{2} h$
$87485 = 1 \: by \: 3 \times 22 \: by \: 7 \times 3x \times 3x \times 9x$
$(87485 \times 7 \times 3) \: by 22 \times 3 \times 3 \times 9 = x {}^{2}$
$x {}^{} = 1031$
radius equal to 3 x 1031
3093 m
height equal to 9 x 1031
9279 m

Answer 2

Answer:

Step-by-step explanation:

Let the common ratio be x

So,r=3x

h=9x

Volume of cylinder=πr^2h

=22/7×3x^2×9x

=254x

254x=87485

x=344

Now radius = 3×344

=1032m

height=9×344

=3096m

Hope this helps you