Advertisements
Advertisements
प्रश्न
A model of a ship is made to a scale 1: 300
1) The length of the model of the ship is 2 m. Calculate the lengths of the ship.
2) The area of the deck ship is 180,000 m2. Calculate the area of the deck of the model.
3) The volume of the model in 6.5 m3. Calculate the volume of the ship.
Advertisements
उत्तर
1) Scale factor k = `1/300`
Length of the model of the ship = k Length of the ship
`=> 2 =1/300 xx "Length of the ship"`
⇒ Length of the ship = 600 m
2) Area of the deck of the model = k2 x Area of the deck of the ship
⇒ Area of the deck of the model = `(1/300)^2 xx 180000`
`= 1/90000 xx 180000`
= 2m2
3) A volume of the model = k3 x Volume of the ship
`=> 6.5 = (1/300)^3 xx "Volume of the ship"`
⇒ Volume of the ship = 6.5 27000000 175500000 m3
APPEARS IN
संबंधित प्रश्न
Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of height 8 cm. Find the radius of the cone so formed.
The dome of a building is in the form of a hemisphere. Its radius is 63 dm. Find the cost of painting it at the rate of Rs. 2 per sq. m.
A cylinder of same height and radius is placed on the top of a hemisphere. Find the curved
surface area of the shape if the length of the shape be 7 cm.
Determine the ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube.
If a sphere of radius 2r has the same volume as that of a cone with circular base of radius r, then find the height of the cone.
A sphere and a cube are of the same height. The ratio of their volumes is
If a sphere is inscribed in a cube, then the ratio of the volume of the sphere to the volume of the cube is
Find the surface area and volume of sphere of the following radius. (π = 3.14 )
3.5 cm
Find the radius of a sphere whose surface area is equal to the area of the circle of diameter 2.8 cm
A solid metallic cylinder has a radius of 2 cm and is 45 cm tall. Find the number of metallic spheres of diameter 6 cm that can be made by recasting this cylinder .
