A tent of height 77 dm is in the form of aright angled circular cylinder of diameter 36 m and height...........

Quantitative Aptitude ( CCS) Mensuration 3D

A tent of height 77 dm is in the form of aright angled circular cylinder of diameter 36 m and height 44 dm surmounted by a right circular cone. Find the cost of canvas at the rate of Rs.3.5 per m².

Rs 4463.61

Rs 6863.61

Rs 5363.61

Rs 5397.65

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Explanation:

Given
The height of the tent = 77 dm
Height of the cone = 44 dm
Height of the tent without the cone = (77 – 44) dm = 33 dm
= 3.3 m
Diameter of the cylinder = 36 m
Radius of the cylinder = 36 / 2 m = 18 m
Let us assume the slant height of the cone be (l)
L²= r² + h²
L² = (18)²+ (3.3)²
l=18.3 m
The slant height of the cone is 18.3 m.
Curved surface area of the cylinder = 2πrh
= 2 *π * 18*4.4 m² ……………….. (i)
Curved surface area of the cone = πrh
= π * 18* 18.3 m²…………………….. (ii)
Now adding equation (i) and (ii) we will get the value of the total surface area
Total surface area = 1532.46 m²
Cost of canvas = 1532.46 m² * Rs 3.5 = Rs 5363.61