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Curved Surface Area of a Right Circular Cylinder

A cylinder wh...

Question

A cylinder whose base of circumference is 6 m can roll at a rate of 3 rounds per second. How much distance will the cylinder cover in 9 seconds?

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Solution

Rounds taken by cylinder in $9$ second $= 9 \times 3 = 27$ rounds
Distance covered in $9$ second $= 27 \times 6 = 162 m$

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Similar questions

State true or false:

A cylinder of circumference

8

21

cm rolls without sliding for

4 \frac{1}{2}

seconds at the rate of

9

complete rounds per second. Find the distance travelled by the cylinder in

4 \frac{1}{2}

seconds, and
Answer: 324 cm

Distance travelled by the cylinder in 1 round

=

its circumference

A cylinder of circumference 8 cm and length 21 cm rolls without sliding for $4 \frac{1}{2}$ seconds at the rate of 9 complete rounds per second.

Find:

(i) the distance travelled by the cylinder in $4 \frac{1}{2}$ seconds, and

(ii) the area covered by the cylinder in $4 \frac{1}{2}$ seconds.

Q. A cylinder of circumference

8

21

cm rolls without sliding for

4 \frac{1}{2}

seconds at the rate of

9

complete rounds per second. Find the area covered by the cylinder in

4 \frac{1}{2}

Q. A cylinder of circumference 8 cm and length 21 cm rolls without sliding for

4 \frac{1}{2}

seconds at the rate of 9 complete rounds per second.Find the Distance travelled by the cylinder in

4 \frac{1}{2}

Q. A cylinder of circumference 8 cm and length 21 cm rolls without sliding for

4 \frac{1}{2}

seconds at the rate of 9 complete rounds per second.
The area covered by the cylinder in

4 \frac{1}{2}

seconds
Area covered by the cylinder in 1 round = its curved surface area

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