Question

Mr. Amrit decided to build a cylindrical shelter for orphans to a height of 3m and conical above it. If its diameter is 105 m and slant height of conical portion is 53 m , calculator the length of The canvas 5cm wide to make the shelter.What values are depicted in Mr. Amrit plan ?​

Answer 1

Given:

Mr. Amrit decided to build a cylindrical shelter for orphans to a height of 3m and conical above it. If its diameter is 105 m and the slant height of the conical portion is 53 m  

To find:

The length of The canvas 5cm wide to make the shelter. What values are depicted in Mr. Amrit plan?​

Solution:

The height of the cylindrical part of the shelter, h = 3 m

The diameter of the base = 105 m

∴ The radius of the base, r = $\frac{105}{2} = 52.5 \: m$

The slant height of the conical portion, l = 53 m

So,

The required canvas to build the shelter for orphans is,

= [Curved surface area of the cylindrical part] + [Curved surface area of the conical part]

= $2 \pi r h + \pi rl$

= $\pi r [2h + l]$

on substituting the given values of r, h and l, we get

= $\frac{22}{7} \times 52.5 \times [(2\times 3) + 53]$

= $\frac{22}{7} \times 52.5 \times 59$

= $\bold{9735\:m^2}$

Since the canvas used for the shelter is in the form of a rectangle, so let "l" and "w" be the length and width of that rectangular canvas.

Here the width of the canvas, w = 5 cm

∴ Length × Width = Area of the rectangular canvas

⇒ l × w = Area

on substituting the value of w = 5 m and Area = 9735 m², we get

⇒ l × 0.05 = 9735

⇒ l = $\frac{9735}{0.05}$

⇒ l = 194700 m

Thus, the length of the canvas 5 cm wide to make the shelter is →

194700 m.

---------------------------------------------------------------------------------------

Also View:

Area of the yellow colour paper required to cover the portion of the rocket. (use pie =22/7)

brainly.in/question/37552927

Some poor children use recycled paper to make conical party caps with a radius of 7cm and slant height of 15 cm and sell it on a street stall.  

(a)How much would they earn profit by selling 50 caps? the selling price of the cap is 50paise per cm square?  

(b)Which value is depicted by the children?

brainly.in/question/2666415

A wooden toy rocket is in the shape of a cone mounted on a cylinder. The height of the entire rocket is 26 cm, while the height of the conical is 6 CM, the base of the conical portion has a diameter of 5 cm, while the base diameter of the cylinder portion is 3 cm conical portion is to be painted orange and cylindrical pots and yellow, find the area of the rocket painted with each of this colours (use pie 3.14 )

brainly.in/question/14022509