Advertisements
Advertisements
प्रश्न
How many lead balls of radii 1 cm each can be made from a sphere of 8 cm radius?
उत्तर
Volume of sphere = `4/3pir^3`
Volume of sphere = `4/3pi8^3`
= `4/3pi512`
= `682.6667pi`
Volume of lead ball = `4/3pi1^3`
= `1.333333pi`
No. of lead balls that can be made = `(682.6667pi)/(1.333333pi) = 512`
No. of lead balls that can be made = 512
APPEARS IN
संबंधित प्रश्न
Find the surface area of a sphere of radius 10.5 cm.
`["Assume "pi=22/7]`
Find the surface area of a sphere of diameter 3.5 m.
`["Assume "pi=22/7]`
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.
Find the surface area of a sphere of diameter 14 cm .
How many balls each of radius 1 cm can be made by melting a bigger ball whose diameter is 8 cm?
If the number of square centimeters on the surface of a sphere is equal to the number of cubic centimeters in its volume, what is the diameter of the sphere?
The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0.2 cm. Find the length of the wire.
If a hollow sphere of internal and external diameters 4 cm and 8 cm respectively melted into a cone of base diameter 8 cm, then find the height of the cone.
If a solid sphere of radius r is melted and cast into the shape of a solid cone of height r, then the radius of the base of the cone is
The ratio between the volume of a sphere and volume of a circumscribing right circular cylinder is
A cone and a hemisphere have equal bases and equal volumes the ratio of their heights is
Find the surface area and volume of sphere of the following radius. (π = 3.14)
4 cm
A sphere has the same curved surface area as the curved surface area of a cone of height 36 cm and base radius 15 cm . Find the radius of the sphere .
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?
From a rectangular solid of metal 42 cm by 30 cm by 20 cm, a conical cavity of diameter 14 cm and depth 24 cm is drilled out. Find: the volume of remaining solid
From a rectangular solid of metal 42 cm by 30 cm by 20 cm, a conical cavity of diameter 14 cm and depth 24 cm is drilled out. Find: the weight of the material drilled out if it weighs 7 gm per cm3.
A conical tent is to accommodate 77 persons. Each person must have 16 m3 of air to breathe. Given the radius of the tent as 7 m, find the height of the tent and also its curved surface area.
Find the volume and surface area of a sphere of diameter 21 cm.
A sphere cut out from a side of 7 cm cubes. Find the volume of this sphere?
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?
