Advertisements
Advertisements
प्रश्न
A solid iron cylinder has total surface area of 1848 sq.m. Its curved surface area is five – sixth of its total surface area. Find the radius and height of the iron cylinder.
उत्तर
T.S.A of the cylinder = 1848 sq.cm
2πr (h + r) = 1848 ...(1)
Curved surface area = `5/6` × 1848 sq.cm
2πrh = 5 × 308
2πrh = 1540 sq.m ...(2)
Substitute the value of 2πrh in (1)
2πr (h + r) = 1848
2πrh + 2πr2 = 1848
1540 + 2πr2 = 1848
2πr2 = 1848 – 1540
`2 xx 22/7 xx "r"^2` = 308
r2 = `(308 xx 7)/(2 xx 22)` = 49
r = 7
Radius of the cylinder = 7m
2πrh = 1540
`2 xx 22/7 xx 7 xx "h"` = 1540
h = `1540/(2 xx 22)` = 35 m
Radius of the cylinder = 7 m
Height of the cylinder = 35 m
APPEARS IN
संबंधित प्रश्न
Find the lateral curved surface area of a cylinderical petrol storage tank that is 4.2 m in diameter and 4.5 m high. How much steel was actually used, if `1/12` of steel actually used was wasted in making the closed tank?
A storage tank consists of a circular cylinder with a hemisphere adjoined on either end. If the
external diameter of the cylinder be 1.4 m and its length be 8 m, find the cost of painting it
on the outside at the rate of Rs. 10 per `m^2`.
The curved surface area of a cylindrical road is 132 cm2. Find its length if the radius is 0.35 cm.
A rectangular sheet of paper, 44 cm × 20 cm, is rolled along its length to form a cylinder. Find the total surface area of the cylinder thus generated.
2.2 cubic dm of brass is to be drawn into a cylindrical wire 0.25 cm in diameter. Find the length of the wire.
In a cylinder, if radius is halved and height is doubled, the volume will be ______.
Two circular cylinders of equal volume have their heights in the ratio 1 : 2 Ratio of their radii is
The radius of a wire is decreased to one-third. If volume remains the same, the length will become
Curved surface area of a cylinder is 1980 cm2 and radius of its base is 15 cm. Find the height of the cylinder. (π = `22/7`)
The external radius and the length of a hollow wooden log are 16 cm and 13 cm respectively. If its thickness is 4 cm then find its T.S.A
