Advertisements
Advertisements
प्रश्न
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?
Advertisements
उत्तर
Let r be the radius of the sphere.
Surface area = 4πr2 and volume = `4/3pir^3`
According to the condition:
`4pir^2 = 4/3pir^3`
`=> r^3/r^2 = 4pi xx 3/(4pi)`
`=>` r = 3 cm
Diameter of sphere = 2 × 3 cm = 6 cm
APPEARS IN
संबंधित प्रश्न
A solid cone of radius 5 cm and height 8 cm is melted and made into small spheres of radius 0.5 cm. Find the number of spheres formed.
A hemi-spherical dome of a building needs to be painted. If the circumference of the base of
the dome is 17.6 cm, find the cost of painting it, given the cost of painting is Rs. 5 per l00
`cm^2`
A hollow sphere of internal and external diameter 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. Find the height of the cone.
A hemi-spherical bowl has negligible thickness and the length of its circumference is 198 cm. Find the capacity of the bowl.
What is the least number of solid metallic spheres, each of 6 cm diameter, that should be melted and recast to form a solid metal cone whose height is 45 cm and diameter 12 cm?
Mark the correct alternative in each of the following:
In a sphere the number of faces is
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 .
There is surface area and volume of a sphere equal, find the radius of sphere.
The radius of a sphere increases by 25%. Find the percentage increase in its surface area
The total surface area of a hemisphere is how many times the square of its radius
