Advertisements
Advertisements
Question
Find the lateral surface area, total surface area and the volume of the following cylinders: Diameter = 10m, High = 7m
Solution
Given that:
Diameter = 10m
Radius (r) = 5m
Height (h) = 7m
Now,
L.S.A of cylinder
= 2 x π x r x h
= `2 xx (22)/(7) xx 5 xx 7`
= 220m2
T.S.A of cylinder
= (2 x π x r x h) + (2 x π x r2)
= `(2 xx (22)/(7) xx 5 xx 7) + (2 xx (22)/(7) xx 5^2)`
= 220 + 157.14
= 377.14m2
Volume of cylinder
= π x r2 x h
= `(22)/(7) xx 5^2 xx 7`
= 550m3.
APPEARS IN
RELATED QUESTIONS
The area of the base of a right circular cylinder is 616 cm2 and its height is 2.5 cm. Find the curved surface area of the cylinder.
The ratio between the curved surface area and the total surface area of a right circular cylinder is 1 : 2. Prove that its height and radius are equal.
The inner diameter of a circular well is 3.5 m. It is 10 m deep. Find the cost of plastering its inner curved surface at Rs 4 per square metre.
A hollow garden roller, 63 cm wide with a girth of 440 cm, is made of 4 cm thick iron. Find the volume of the iron.
The inner diameter of a well is 4.20 metre and its depth is 10 metre. Find the inner surface area of the well. Find the cost of plastering it from inside at the rate Rs.52 per sq.m.
The diameter of a garden roller is 1.4 m and it is 2 m long. How much area will it cover in 5 revolutions? (Take π = 22/7)
The radius of a solid cylinder decreases by 10% and its height increases by 20%. Find the change in percentage of its volume and curved surface area
In a cylinder, radius is doubled and height is halved, curved surface area will be ______.
Four times the area of the curved surface of a cylinder is equal to 6 times the sum of the areas of its bases. If its height is 12 cm, find its curved surface area.
A rectangular sheet of paper of size 11 cm × 7 cm is first rotated about the side 11 cm and then about the side 7 cm to form a cylinder, as shown in the diagram. The ratio of their curved surface areas is ______.
