If the ratio of the volume of two spheres is 1:8, then the ratio of their surface area is:
Given:
Ratio of volumes of two spheres = 1 : 8
Concept Used:
The volume and surface area of a sphere are both functions of the radius.
V ∝ r3 and S ∝ r2,
where, V = volume, r = radius, S = surface area
Formula Used:
Volume of a sphere =
Surface area of a sphere =
Solution:
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100 Questions
100 Marks
90 Mins English English100 Questions100 Marks90 Mins English English100 Questions100 Marks90 Mins EnglishThe ratio of the radius of Hemisphere A to Hemisphere B is 2:1.
If the curved surface area of Hemisphere A is equal to the volume of Hemisphere B, find the radius of Hemisphere B.
A solid sphere is placed inside a cube such that it touches all six faces. What percentage of the cube's volume is not occupied by the sphere?
If the radius of a sphere is increased to twice its original size, what is the ratio of the new surface area to the original surface area, as well as the proportion of the new volume to the original volume?
A metal sphere having a radius of 10 centimeters is melted down and molded into 8 identical smaller solid spheres. What is the ratio of the surface area of the original sphere to the total surface area of all 8 smaller spheres?
What will be the surface area of the sphere having 5.4 cm radius?
Find the volume of the sphere whose diameter is 30 cm. (Use π = 3.14).
Find the surface area of a sphere whose diameter is equal to 14 cm.
The curved surface area of a sphere is 9856 cm2, find its diameter in m.
If the radius of a sphere is increased by 50%, then how much percentage increase is in its lateral area?
A metallic sphere of radius 4.2 cm is melted and recast into a cylinder of radius 6 cm, then the height of the cylinder is-
Suggested Test Series
Suggested Test Series
The ratio of the radius of Hemisphere A to Hemisphere B is 2:1.
If the curved surface area of Hemisphere A is equal to the volume of Hemisphere B, find the radius of Hemisphere B.
A solid sphere is placed inside a cube such that it touches all six faces. What percentage of the cube's volume is not occupied by the sphere?
If the radius of a sphere is increased to twice its original size, what is the ratio of the new surface area to the original surface area, as well as the proportion of the new volume to the original volume?
A metal sphere having a radius of 10 centimeters is melted down and molded into 8 identical smaller solid spheres. What is the ratio of the surface area of the original sphere to the total surface area of all 8 smaller spheres?
What will be the surface area of the sphere having 5.4 cm radius?
Find the volume of the sphere whose diameter is 30 cm. (Use π = 3.14).
Find the surface area of a sphere whose diameter is equal to 14 cm.
The curved surface area of a sphere is 9856 cm2, find its diameter in m.
If the radius of a sphere is increased by 50%, then how much percentage increase is in its lateral area?
A metallic sphere of radius 4.2 cm is melted and recast into a cylinder of radius 6 cm, then the height of the cylinder is-
