Advertisements
Advertisements
प्रश्न
A running track has 2 semicircular ends of radius 63 m and two straight lengths. The perimeter of the track is 1000 m. Find each straight length.
उत्तर
Radius of semi-circular track = 63 m
Perimeter of 2 semi-circles = Perimeter of 1 circle
Perimeter of a circular track = 2πr
Perimeter of circular track = `2 xx 22/7 xx 63`
= 2 × 22 × 9
= 44 × 9
= 396 m
∵ The perimeter of the total track is 1000 m.
∴ Length of two straight lengths track = 1000 – 396 = 604 m
Length of 1 straight length track = `604/2` = 302 m
APPEARS IN
संबंधित प्रश्न
A building is in the form of a cylinder surrounded by a hemispherical dome. The base diameter of the dome is equal to \[\frac{2}{3}\] of the total height of the building . Find the height of the building , if it contains \[67\frac{1}{21} m^3\].
Height of a solid cylinder is 10 cm and diameter 8 cm. Two equal conical hole have been made from its both ends. If the diameter of the holes is 6 cm and height 4 cm, find (i) volume of the cylinder, (ii) volume of one conical hole, (iii) volume of the remaining solid.
A golf ball has diameter equal to 4.2 cm. Its surface has 200 dimples each of radius 2 mm. Calculate the total surface area which is exposed to the surroundings assuming that the dimples are hemispherical.
A sphere of maximum volume is cut-out from a solid hemisphere of radius r, what is the ratio of the volume of the hemisphere to that of the cut-out sphere?
A spherical ball of diameter 21 cm is melted and recast into cubes, each of side 1 cm. Find the number of cubes so formed.
A hemispherical tank, full of water, is emptied by a pipe at the rate of `25/7` litres per second. How much time will it take to empty half the tank if the diameter of the base of the tank is 3 m?
The curved surface area of a sphere is 5544 cm2. Find its volume.
If the radii of the ends of a bucket are 5 cm and 15 cm and it is 24 cm high, then its surface area is
The dimensions of a metallic cuboid are 44 cm × 42 cm × 21 cm. it is molten and recast into a sphere. Find the surface area of the sphere.
A factory manufactures 120000 pencils daily. The pencils are cylindrical in shape each of length 25 cm and circumference of base as 1.5 cm. Determine the cost of colouring the curved surfaces of the pencils manufactured in one day at Rs 0.05 per dm2.