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tatuchka [14]
3 years ago
6

AREAS AND VOLUMES OF SIMILAR SOLIDS URGENT?

Mathematics
1 answer:
Llana [10]3 years ago
6 0

Formula for the volume of cone is \frac{1}{3} \pi r^2h

Where r= radius of the cone

h = height of the cone

The value of pi is 3.14

Given volume of larger cone is 131 cm^3

Volume of larger cone = \frac{1}{3} \pi r^2h

131 = \frac{1}{3} \pi 5^2h

Solve for h

131 = 26.1667 *h

So h= 5 cm

The height of bigger cone = 5cm

Now we find the volume of smaller cone

Two cones similar so the sides are in proportional

\frac{radius(small)}{radius(large)}=  \frac{height(small)}{height(large)}

\frac{2}{5} =\frac{ height of small}{5}

Height of smaller cone = 2cm

volume of smaller cone = \frac{1}{3} \pi 2^2*2

= 8.38cm^3

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