We have,
r = radius of the cylinder
= radius of hemispherical ends = 14 cm
h = height of cylinder = 72 cm
∴ Total surface area = curved surface area of the cylinder + surface areas of hemispherical ends
= (2rh +2 x 2r2) cm2
= 2r (h + 2r) cm2
Now, cost of polishing the surface of the solid at the rate of 5 paise per sq. m
Let r cm be the radius, h cm be the height of the cylinder then
r = 3.5 cm
and h = 20 cm.
Let r1 be the radius of the hemisphere, then
r1 = 3.5 cm
Now,
Total surface area of the area of the article
= curved surface area of the cylinder
+ 2 (curved surface area of hemisphere)
= 2πrh + 2 (2 πr12)
= 2 πrh + 4 πr2 [∵ r = r1]
= 2 π r(h + 2r)
The decorative block shown in fig. is made of two solids - a cube and a hemisphere. The base of the block is a cube with edge 5 cm, and the hemisphere fixed on the top has a diameter of 4.2 cm. Find the total surface area of the block.
Let the side (edge) of the cube be a cm, then a
= 5 cm.
Let radius of the hemisphere be r, then
r = 2.1 cm
Now,
The total surface area of the block
= T.S.A of cube - base area of hemisphere + C.S.A of hemisphere
= 6 (side)2 – r2 + 2r2
= 150 – r2 + 2 r2
= 150 + 2
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We have, r1 = Radius of the base of the cylinder = 7m
r2 = Radius of the base of the cone = 7 m
h1 = Height of the cylinder = 6m
In right triangle EOC, we have
Thus, slant height (CE) = 14 m
Now,Surface area of building = Curved surface area of cylinder + curved surface area of cone
Cost of painting the building from inside at the rate of Rs. 30/m2
= Rs. (572 x 30) = Rs. 17160.
Let r1 cm be the radius of hemisphere then
r1 = 7 cm
Now, Total surface area of toy
= C.S.A of cone + C.S.A. of hemisphere
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