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
Find the radius of a sphere whose surface area is 154 cm2.
`["Assume "pi=22/7]`
The surface area of a solid metallic sphere is 2464 cm2. It is melted and recast into solid right circular cones of radius 3.5 cm and height 7 cm. Calculate:
- the radius of the sphere.
- the number of cones recast. (Take π = `22/7`)
Find the surface area of a sphere of radius 5.6 cm.
The surface area of a sphere is 2464 cm2, find its volume.
A solid rectangular block of metal 49 cm by 44 cm by 18 cm is melted and formed into a solid sphere. Calculate the radius of the sphere.
The total area of a solid metallic sphere is 1256 cm2. It is melted and recast into solid right circular cones of radius 2.5 cm and height 8 cm. Calculate :
- the radius of the solid sphere.
- the number of cones recast. [Take π = 3.14]
A hollow sphere of internal and external radii 6 cm and 8 cm respectively is melted and recast into small cones of base radius 2 cm and height 8 cm. Find the number of cones.
How many spherical bullets can be made out of a solid cube of lead whose edge measures 44 cm, each bullet being 4 cm in diameter?
A cylindrical rod whose height is 8 times of its radius is melted and recast into spherical balls of same radius. The number of balls will be
The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratios of the surface areas of the balloon in the two cases is ______.
