Miscellaneous Mensuration (Simple)

Study Material (PDF)
Self Assesment
Study Material (PDF)
Self Assesment

Click on each question to see answer & solution.

Question No: #1

If the volume and area of the lateral surface of a right circular cylinder are numerically equal, then the radius of this cone is ...... unit.

Question No: #2

State true or false.
(i) If the length of radius of a right circular cylinder is 2 units, then the numerical value of volume and curved surface area of cylinder will be equal for any height.
Ans: (i) True
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Question No: #3

Area of the lateral surface of a right circular cylinder = circumference of the plane circular face × ........
Ans: Height of the cylinder (চোঙের উচ্চতা)
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Question No: #4

The longest rod that can be kept in a right-circular cylinder having the diameter of 3 cm and height of 4 cm, then the length of rod is __________ cm.

Question No: #5

If the circumference of base of a cylinder is 154 cm and the height is 10 cm, then find its volume.

Question No: #6

If the height of a right circular cylinder is 14 cm and its curved surface area is 264 sq. cm., then find the volume of this cylinder.
Ans: 396 c.c.
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Question No: #7

The base area of cylindrical water tank with lid is 616 sq.m and height is 21 m. Calculating the total surface area of the tank.
Ans: 3080 sq.m.
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Question No: #8

If the curved surface area, radius of base and volume of a right circular cylinder are `c` sq. unit, `r` unit and `v` cubic unit respectively, then the value of `{cr}/v` is ..........

Question No: #9

If the volume, total surface area, height and radius of base of a right circular cylinder are `v` cubic unit, `s` sq. unit, `h` unit and `r` unit respectively. Then show that, `s = 2v(1/h + 1/r)`.

Question No: #10

If both the radius and height of a right circular cylinder are doubled, then new volume will be ........... times of the original volume.