Find what length of canvas, 1.5 m in width, is required to make a conical tent 48 m in diameter and 7 m in height? Given that 10% of the canvas is used in folds and stitchings. Also, find the cost of the canvas at the rate of ₹24 per meter.

Given, Diameter of tent = 48 m Radius (r) = = 24 m Height (h) = 7 m Slant height = l We know that, ⇒ l 2 = h 2 + r 2 ⇒ l 2 = 7 2 + 24 2 ⇒ l 2 = 49 + 576 ⇒ l 2 = 625 ⇒ l = ⇒ l = 25 m. Curved surface area = πrl = = 1885.71 m 2 Given, 10% of canvas is used in folds and stitchings. ∴ = 188.571 m 2 . Total area of canvas = 1885.71 + 188.571 = 2074.28 m 2 . By formula, ⇒ Area of canvas = Length of canvas × Breadth of canvas ⇒ 2074.28 = Length × 1.5 Length = = 1382.85 m. Given, Cost of 1 m = ₹ 24 ∴ Cost of 1382.85 m = 1382.85 × 24 = ₹ 33188.40. Hence, length of canvas required = 1382.85 m and cost of canvas = ₹ 33188.40.

JOIN NOW

Mathematics

If you are given a rectangular canvas of 1.5 m in width, what length of this canvas would you require to make a conical tent that is 48 m in diameter and 7 m in height? Note that 10% of the canvas is used (wasted) in folds and stitchings.
Also, find the cost of the canvas at the rate of ₹24 per meter.

Mensuration

29 Likes

Answered By

11 Likes

Mathematics

Mensuration

Related Questions

There are two cones. The curved surface area of one is twice that of the other. The slant height of the latter is twice that of the former. Find the ratio of their radii.

A heap of wheat is in the form of a cone of diameter 16.8 m and height 3.5 m. Find its volume. How much cloth is required to just cover the heap?

A solid cone of height 8 cm and base radius 6 cm is melted and recast into identical cones, each of height 2 cm and diameter 1 cm. Find the number of cones formed.

The total surface area of a right circular cone of slant height 13 cm is 90π cm². Calculate :
(i) its radius in cm
(ii) its volume in cm³.
[Take π = 3.14]

Mathematics

Mensuration

Related Questions

There are two cones. The curved surface area of one is twice that of the other. The slant height of the latter is twice that of the former. Find the ratio of their radii.

A heap of wheat is in the form of a cone of diameter 16.8 m and height 3.5 m. Find its volume. How much cloth is required to just cover the heap?

A solid cone of height 8 cm and base radius 6 cm is melted and recast into identical cones, each of height 2 cm and diameter 1 cm. Find the number of cones formed.

The total surface area of a right circular cone of slant height 13 cm is 90π cm2. Calculate :(i) its radius in cm(ii) its volume in cm3.[Take π = 3.14]

The total surface area of a right circular cone of slant height 13 cm is 90π cm². Calculate :
(i) its radius in cm
(ii) its volume in cm³.
[Take π = 3.14]