Advertisements
Advertisements
प्रश्न
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 number of cones recast. `("Take" pi =22/7)`
Advertisements
उत्तर
∴ R = 14 cm
Volume of sphere melted = `4/3 pi "R"^3`
`= 4/3 xx pi xx 14 xx 14 xx 14`
Radius of each cone recasted = r = 3.5 cm
Height of each cone recasted = h = 7 cm
∴ Volume of each cone recasted = `1/3 pi "r"^2"h"`
`= 1/3 xx pi xx 3.5 xx 3.5 xx 7`
∴ Number of cones recasted = `"Volume of sphere melted"/"Volume of each cone formed"`
`= (4/3 xx pi xx 14 xx 14 xx 14)/(1/3 xx pi xx 3.5 xx 3.5 xx 7)`
= 128
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.
Find the surface area of a sphere of radius 10.5 cm.
Determine the ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube.
The largest sphere is cut off from a cube of side 6 cm. The volume of the sphere will be
The ratio between the volume of a sphere and volume of a circumscribing right circular cylinder is
Find the surface area of a sphere, if its volume is 38808 cubic cm. `(π = 22/7)`
The radius of a sphere is 9 cm. It is melted and drawn into a wire of diameter 2 mm. Find the length of the wire in metre.
Find the length of the wire of diameter 4 m that can be drawn from a solid sphere of radius 9 m.
Find the radius of the sphere whose surface area is equal to its volume .
A hemispherical bowl of internal radius 9 cm is full of liquid. This liquid is to be filled into conical shaped small containers each of diameter 3 cm and height 4 cm. How many containers are necessary to empty the bowl?
