Advertisements
Advertisements
Question
Choose the correct alternative answer for the following question.
The curved surface area of a cylinder is 440 cm 2 and its radius is 5 cm. Find its height.
Options
`44/pi` cm
22 \[\pi\] CM
44 \[\pi\] CM
\[\frac{22}{\pi}\] cm
Advertisements
Solution
`44/pi` cm
Explanation:
The radius of the cylinder, r = 5 cm
Let the height of the cylinder be h cm.
Curved surface area of the cylinder = 440 cm2
`therefore 2pi"h" = 440`
`=> "h" = 440/(2pi"r")`
`=> "h" = 440/(2pi xx 5) = 44/pi` cm
Thus, the height of the cylinder is `44/Pi` cm.
RELATED QUESTIONS
A doorway is decorated as shown in the figure. There are four semi-circles. BC, the diameter of the larger semi-circle is of length 84 cm. Centres of the three equal semicircles lie on BC. ABC is an isosceles triangle with AB = AC. If BO = OC, find the area of the shaded region. (Take `pi = 22/7`)
Find the area of circle whose circumference is 44 cm.
The area of circle, inscribed in equilateral triangle is 154 cms2. Find the perimeter of
triangle.
A plot is in the form of rectangle ABCD having semi-circle on BC. If AB = 60m and BC = 28m, find the area of plot.
Find the area of the sector of a circle having radius 6 cm and of angle 30°. [Take π = 3.14]
PQRS is a diameter of a circle of radius 6 cm. The lengths PQ, QR and RS are equal. Semicircles are drawn with PQ and QS as diameters, as shown in the given figure. If PS = 12 cm, find the perimeter and area of the shaded region.
The difference between the circumference and radius of a circle is 37 cm. The area of the circle is
The radius of the circle is given below; find the area.
28 cm
Find the area and perimeter of the following semi-circle :
Radius= 1.4 cm
An express train is running between two stations with a uniform speed. If the diameter of each wheel of the train is 42 cm and each wheel makes 1200 revolutions per minute, find the speed of the train.
Construct the circumcircle of the ABC when BC = 6 cm, B = 55° and C = 70°.
The inner circumference of a circular track is 264 m and the width of the track is 7 m. Find:
(i) the radius of the inner track.
(ii) the radius of the outer circumference.
(iii) the length of the outer circumference.
(iv) the cost of fencing the outer circumference at the rate of ₹50 per m.
Complete the table below.
| Radius (r) | Diameter (d) | Circumference (c) |
| ...... | ...... | 72.6 cm |
Find the area and perimeter of the circles with following: Radius = 2.8cm
Find the area and perimeter of the following semicircles: Radius = 1.4cm
Find the perimeter of the given shape (Take π = `22/7`).
A ground is in the form of a circle whose diameter is 350 m. An athlete makes 4 revolutions. Find the distance covered by the athlete
A wheel of a car covers a distance of 3520 cm in 20 rotations. Find the radius of the wheel?
A circular pond is 17.5 m is of diameter. It is surrounded by a 2 m wide path. Find the cost of constructing the path at the rate of Rs 25 per m2.
A dinner plate is in the form of circle. A circular region encloses a beautiful design as shown in the following figure. The inner circumference is 352 mm and outer is 396 mm. Find the width of circular design.
