Question

a cricket trophy is in the shape of a cylinder with base diameter of base is 14 with height 15 cm..a cricket ball of diameter 7cm is surmounted on it...the total cup if fixed on a cuboid of dimension 14 by 14 by 7...find the volume of trophy along with base ,

Answer 1

Hope this will work!
Thank you!

Answer 2

aloha user!
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okay so there's a cricket trophy which is in the shape of a cylinder.
it has got a base with diameter 14cm so this means the radius would be 7cm.
it is of height 15cm.
now there is also a cricket ball surmounted on it.
moreover, it is fixed on a cuboid which has got dimensions 14 × 14 × 7

now, what we have got to do is find the volume of whole thing.

for that we must add the volumes of ball, cuboid and cylinder.

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let's find out the volume of ball!

we know that the volume of sphere is 3/4×π×r³.
as the cricket ball is surmounted on the top of cylinder they would have radius which is 7cm/ 2 = 3.5cm
using this,
3/4 × 22/7 × 3.5 ×3.5 ×3.5 = 179.6 cm³.

good enough. we got the volume of the ball which is 179.6 cm³.

now,
the second thing is the cylinder part.
we know that volume of cylinder is π × r² × h
22/7 × 7 ×7 × 15 = 2310cm³.

fair enough, now we got the volume of cylinder part which is 2310cm³.

now lastly,
we have got to find the volume of cuboid which has volume:
lbh = 14 × 14 × 7 =1372cm³.

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only thing that we have got to do is add all of the above volumes!
so,
179.6 + 2310 + 1372 = 3861.6 cm³. (approx)

the volume of trophy is 3861.6 cm³!
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hope it helps :^)