+91-8076753736[email protected]
logo
logo
-->

Probability

Question
CBSEENMA9003530
Wired Faculty App

A square piece of paper of side 22 cm is rolled to form a cylinder. Find the volume of the cylinder.

open parentheses Take space straight pi space equals 22 over 7 close parentheses

Solution

Let the base radius and height of the cylinder be r cm and h cm respectively.

Then,
        space space space space space space space space space 2 πr equals 22 rightwards double arrow space space space 2 cross times 22 over 7 cross times straight r equals 22 rightwards double arrow space space space space straight r equals 7 over 2 space cm space space space space space space space space straight h space equals space 22 space cm
therefore Volume of the cylinder = πr squared straight h
              equals 2.22 over 7.7 over 2.7 over 2.22 equals space 847 space cm cubed
                                      

Some More Questions From Probability Chapter

A plastic box 1.5 m long, 1.25 m wide and 65 cm deep is to be made. It is opened at the top. Ignoring the thickness of the plastic sheet, determine:

(i) The area of the sheet required for making the box.
(ii) The cost of sheet for it, if a sheet measuring 1 m2 costsर 20.

The length, breadth and height of a room are 5 m, 4 m and 3 m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of र 7.50 per m2.

A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high.

(i) Which box has the greater lateral surface area and by how much?

A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high.

(i) Which box has the greater lateral surface area and by how much?

A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is 30 cm long, 25 cm wide and 25 cm high.

(i)    What is the area of the glass?
(ii)    How much of tape is needed for all the 12 edges?

Parveen wanted to make a temporary shelter for her car, by making a box-like structure with tarpaulin that covers all the four sides and the top of the car (with the front face as a flap which can be rolled up). Assuming that the stitching margins are very small, and therefore negligible, how much tarpaulin would be required to make the shelter of height 2.5 m, with base dimensions 4 m × 3 m?

Mock Test Series

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation