is 7 cm. Find the volume and surface area of the solid.
13. A carpenter, Abdullan prepared a model which is in the form of a cylinder with hemi-
the building
fo
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Let r cm be the radius and h cm the height of the cylinder. Then,
r=
2
7
cm;h=(19−2×
2
7
)cm=12cm
Also radius of hemisphere =
2
7
cm=rcm
Now,
volume of the solid = volume of the cylinder + volume of two hemisphere
{πr
2
h+2(
3
2
πr
3
)}cm
3
=πr
2
(h+
3
4r
)cm
3
=
⎩
⎪
⎨
⎪
⎧
7
22
×(
2
7
)
2
×(12+
3
4
×
2
7
)
⎭
⎪
⎬
⎪
⎫
cm
3
=
7
22
×
2
7
×
2
7
×
3
50
cm
3
=641.66cm
3
Surface area of the solid
=curved surface are of cylinder + surface area of two hemisphere
=(2πrh+2×2πr
2
)cm
2
=2πr(h+2r)cm
2
=2×
7
22
×
2
7
(12+2×
7
22
×
2
7
)cm
2
=(2×
7
22
×
2
7
×19)cm
2
=418cm
2
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