Advertisements
Advertisements
Question
The volume of a sphere is 38808 cm3; find its diameter and the surface area.
Advertisements
Solution
Volume of the sphere = 38808 cm3
Let radius of sphere = r
∴ `4/3pir^3 = 38808 `
`=> 4/3 xx 22/7 xx r^3 = 38808`
`=> r^3 = (38808 xx 7 xx 3)/(4 xx 22) = 9261`
`=>` r = 21 cm
∴ Diameter = 2r
= 21 × 2 cm
= 42 cm
Surface area = 4πr2
= `4 xx 22/7 xx 21 xx 21`
= 5544 cm2
APPEARS IN
RELATED QUESTIONS
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.
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`.
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 hemi-spherical bowl has negligible thickness and the length of its circumference is 198 cm. Find the capacity of the bowl.
Find the radius of a sphere whose surface area is 154 cm2.
The ratio of the total surface area of a sphere and a hemisphere of same radius is
If the surface area of a sphere is 144π m2, then its volume (in m3) is
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
A solid, consisting of a right circular cone standing on a hemisphere, is placed upright, in a right circular cylinder, full of water and touches the bottom. Find the volume of water left in the cylinder, having given that the radius of the cylinder is 3 cm and its height is 6 cm; the radius of the hemisphere is 2 cm and the height of the cone is 4 cm. Give your answer to the nearest cubic centimetre.
A vessel is in he form of an inverted cone. Its height is 11 cm., and the radius of its top which is open is 2.5 cm. It is filled with water up to the rim. When lead shots, each of which is a sphere of radius 0.25 cm., are dropped 2 into the vessel, `2/5`th of the water flows out. Find the number of lead shots dropped into the vessel.
