Question

A tent of height 77 dm is in the form a right circular cylinder of diameter 36 m and height 44 dm surmounted by a right circular cone. Find the cost of the canvas at Rs 3.50 per m². [Use $(\pi=\frac{22}{7})$]

Answer 1

Answer:

The cost of canvas is ₹ 5365.80.

Step-by-step explanation:

Given

Diameter of the cylinder = 36 m

Radius of the cylinder , r = 36 / 2 m = 18 m

The height of the tent = 77 dm

Height of the cylindrical part ,H = 44 dm

Height of the right circular cone , h = (77 – 44) dm = 33 dm = 33/10 = 3.3 m

[1 dm = 1/10 m]

Let the slant height of the cone be (l).

l² = r² + h

l²  = (18)² + (3.3)²

l² = 324 + 10.89

l² = 334.89

l = √334.89

l   = 18.3 m

slant height of the cone is 18.3 m.

Curved surface area of the cylinder = 2πrh

= 2π × 18 × 4.4 m² ……………….. (1)

Curved surface area of the cone = πrl

= π × 18 × 18.3 m²…………………….. (2)

Total curved surface area of the tent = Curved surface area of the cylinder + Curved surface area of the cone

= 2π × 18 × 4.4 m² + π × 18 × 18.3 m²

[From eq. 1 & 2]

= 18π(2 × 4.4 + 18.3)

= 18π (8.8 + 18.3)

= 18π(27.1)

= 18 × π (27.1)

Cost of canvas = 18 × π (27.1) × ₹ 3.5  

= 18 × 22/7 × 27.1 × 3.5  

= ₹ 5365.80

Hence, the cost of canvas is ₹ 5365.80.

HOPE THIS ANSWER WILL HELP YOU….

Answer 2

Answer:

here is ur answer

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