Advertisements
Advertisements
Question
There is a ratio 1: 4 between the surface area of two spheres, find the ratio between their radius.
Advertisements
Solution
Let radius of spheres are r1 and r2.
So, surface area of spheres is 4πr12 and 4πr22.
Ratio of surface area = `(4πr_1^2)/(4πr_2^2) = 1/4`
= `(r_1^2)/(r_2^2) = 1/4`
= `((r_1)/(r_2))^2 = 1/4`
= `(r_1)/(r_2) = sqrt(1/4)`
= `(r_1)/(r_2) = 1/2`
Hence, the ratio between their radius = 1: 2.
RELATED QUESTIONS
Find the surface area of a sphere of radius 10.5 cm.
`["Assume "pi=22/7]`
Find the surface area of a sphere of radius 14 cm.
`["Assume "pi=22/7]`
Find the surface area of a sphere of radius 5.6 cm.
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?
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?
A solid is in the form of a cone standing on a hemi-sphere with both their radii being equal to 8 cm and the height of cone is equal to its radius. Find, in terms of π, the volume of the solid.
Find the total surface area of a hemisphere of radius 10 cm.
If a sphere is inscribed in a cube, then the ratio of the volume of the sphere to the volume of the cube is
A certain number of metallic cones, each of radius 2 cm and height 3 cm are melted and recast into a solid sphere of radius 6 cm. Find the number of cones used.
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.
