Advertisements
Advertisements
Question
In one fortnight of a given month, there was a rainfall of 10 cm in a river valley. If the area of the valley is 7280 km2, show that the total rainfall was approximately equivalent to the addition to the normal water of three rivers each 1072 km long, 75 m wide and 3 m deep.
Solution
Area of the valley = 7280 km2
If there was a rainfall of 10 cm in the valley then amount of rainfall in the valley = Area of the valley × 10 cm
Amount of rainfall in the valley = 7280 km2 × 10 cm
`=7280×(1000m)^2×10/100m`
`=7280×10^5m^3`
`=7.28×10^8m3`
Length of each river, l = 1072 km = 1072 × 1000 m = 1072000 m
Breadth of each river, b = 75 m
Depth of each river, h = 3 m
Volume of each river = l × b × h
= 1072000 × 75 × 3 m3
= 2.412 × 108 m3
Volume of three such rivers = 3 × Volume of each river
= 3 × 2.412 × 108 m3
= 7.236 × 108 m3
Thus, the total rainfall is approximately same as the volume of the three river
APPEARS IN
RELATED QUESTIONS
A rocket is in the form of a circular cylinder closed at the lower end with a cone of the same radius attached to the top. The cylinder is of radius 2.5m and height 21m and the cone has a slant height 8m. Calculate total surface area and volume of the rocket?
A hemispherical tank full of water is emptied by a pipe at the rate of \[\frac{25}{7}\] litres per second. How much time will it take to half-empty the tank, If the tank is 3 metres in diameter?
If the radii of the circular ends of a bucket of height 40 cm are of lengths 35 cm and 14 cm, then the volume of the bucket in cubic centimeters, is
If three metallic spheres of radii 6 cm, 8 cm and 10 cm are melted to form a single sphere, the diameter of the sphere is
The ratio of lateral surface area to the total surface area of a cylinder with base diameter 1.6 m and height 20 cm is
From a solid cylinder whose height is 8 cm and radius 6 cm, a conical cavity of height 8 cm and base radius 6 cm is hollowed out. Find the volume of the remaining solid. Also, find the total surface area of the remaining solid.
The volumes of two cubes are in the ratio 8 : 27. Find the ratio of their surface areas.
If the radii of the circular ends of a bucket 28 cm high, are 28 cm and 7 cm, then find its capacity and total surface area.
Tick the object which has more volume
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.
