Question

Mohan lives in Hyderabad in Telangana. Those were very hot days of May. He thought that if we human beings need so much water to drink, won’t the birds also be thirsty. He decided to prepare a vessel to provide water for birds. He found a flexible blue coloured plastic rectangular sheet 44 cm × 15 cm. He rolled it along its length and joined the two opposite ends using a tape. He wanted to have a circular base for this cylinder and searched for another sheet. He found a square sheet 15 cm × 15 cm. He got a circular sheet just equal to the base of the cylinder cut from it.

a. The curved surface area of the cylinder formed is
b. The radius of the base of the cylinder is
c. The area of the circular base required for the cylinder is
d. Find the volume of water that can be filled in the cylinder.

Answer 1

Answer:

The volume of the water that can be filled in the cylinder is 2310ml.

Step-by-step explanation:

Step 1:The radius 'r' of a cylinder is the radius of its base. Now, the area of the rectangle = length × breadth. 2πr is the circumference of the circle and h is the height. Area of the curved surface will be = 2πr × h = 2πrh.

b) The radius of the base of the cylinder is:

answer= 2 cm

Step 2:The radius of the circular base required for cylinder is

answer=Given volume and lateral area: r = 2 * V / A_l , Given base area: r = √(A_b / (2 * π)) , Given lateral area and total area: r = √((A - A_l) / (2 * π))

How much will be the area of square sheet left unused after removing the circular base of

the cylinder from it?

Answer = 83

Step 3:The length of the rectangular sheet is 44cm which means it is the circumference of the base circle.

Now,

Circumference of the circle=2πr

44 =2×22/7×r

44 =44/7×r

44×7/44=r

7 =r

Therefore the radius is of 7 cm.

Next,

Volume of the cylinder=πr^2h

=22/7×7×7×15

=154×15

= 2310

Therefore the volume of the water that can be filled in the cylinder is 2310ml.

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