Advertisements
Advertisements
प्रश्न
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?
Advertisements
उत्तर
Let the total number of bullets be x.
Radius of a spherical bullet = `4/2`= 2 cm
Now,
Volume of a spherical bullet = `4/3π xx (2)^3 = 4/3 xx 22/7 xx 8`
∴ Volume of x spherical bullets = `4/3 xx 22/7 xx 8 xx x "cm"^3`
Volume of the solid cube = (44)3 cm3
Clearly,
Volume of x spherical bullets = volume of the cube
`4/3 xx 22/7 xx 8 xx x` = 44 x 44 x 44
x = `(44 xx 44 xx 44 xx 7 xx 3)/(4 xx 22 xx 8)`
x = 2541
Hence, total number of spherical bullets are 2541.
संबंधित प्रश्न
Find the radius of a sphere whose surface area is 154 cm2.
`["Assume "pi=22/7]`
Assuming the earth to be a sphere of radius 6370 km, how many square kilo metres is area
of the land, if three-fourth of the earth’s surface is covered by water?
A wooden toy is in the form of a cone surmounted on a hemisphere. The diameter of the base
of the cone is 16 cm and its height is 15 cm. Find the cost of painting the toy at Rs. 7 per 100
`cm^2`.
The volume of a sphere is 38808 cm3; find its diameter and the surface area.
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?
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.
Mark the correct alternative in each of the following:
In a sphere the number of faces is
Find the surface area and volume of sphere of the following radius. (π = 3.14 )
9 cm
The given figure shows the cross-section of a cone, a cylinder and a hemisphere all with the same diameter 10 cm and the other dimensions are as shown.
Calculate :
- the total surface area.
- the total volume of the solid and
- the density of the material if its total weight is 1.7 kg.
A solid sphere is cut into two identical hemispheres.
Statement 1: The total volume of two hemispheres is equal to the volume of the original sphere.
Statement 2: The total surface area of two hemispheres together is equal to the surface area of the original sphere.
Which of the following is valid?
