Question

. A cone is attached to a hemisphere of radius 4 cm. If the total
height of the object is 10 cm, find its volume.​

Answer 1

Answer:

volume of object =704 cm^3

Step-by-step explanation:

given, a cone is attached to the hemisphere.

radius of hemisphere and cone =4 cm,

then height of hemisphere =4 cm,

total height of the object is 10 cm.

then, height of cone =height of object-height of hemisphere

=10-4

=6cm

therefore-height of cone = 6 cm

volume of object =volume of cone +volume of hemisphere

=1/3πr^2h+2/3πr^3

=πr^2/3(h+2r)

=22/7×4×4(6+2×4)

=22/7×16(6+8)

=22/7×16(14)

=22×16(2)

=22×32

=704 cm^3

therefore ,volume of the object =704 cm^3.

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Answer 2

Answer:

235 cm^3

Step-by-step explanation:

First of all,

Volume of hemisphere = 4/3 x (pi) x (r) ^3

Which is 268.1 cm^3, then divide it by 2

Which is 134.0 cm^3

Now we have to find the volume of cone which is:

1/3 x pi x r^2 x h

But we know that height for a total object is 10cm and we have to find for come only so

We have to minus 10 by 4 because cones radius and hemisphere radius is the same

And we get 6

1/3 x pi x r^2 x 6 = 100.5cm^3

Now we have to find the overall volume

So we have to plus them together

Which is 100.5cm^3 + 134.0cm^3 = 234.5cm^3 (1d.p.)

And there you have the answer

Hope you understand what I mean and I hope you can solve more further questions like this!