
Find the volume of the sphere whose radius is
(i) 7cm (ii) 0.63m
Answer
580.5k+ views
Hint: Find the volume of the sphere by using the formula V =$\dfrac{4}{3} \pi r^3$where r is the radius of the sphere .
Complete step-by-step answer:
(i) Given , the radius of the sphere is 7 cm
The volume of the sphere is V =$\dfrac{4}{3} \pi r^3$=$\dfrac{4}{3} \pi 7^3=1436.027 cm^3$
(ii) Given , the radius of the sphere is 0.63m
The volume of the sphere=$\dfrac{4}{3} \pi r^3=\dfrac{4}{3} \pi 0.63^3 m^3=1.047 m^3$
To find the volume of a sphere , one has to know the radius of the sphere and put it in the formula V =$\dfrac{4}{3} \pi r^3$. In the above two given spheres , the radius is given in different measurements . Students mostly go wrong noticing that .
Note: A sphere is an object in three-dimensional space that is the surface of a ball. Like a circle in a two-dimensional space, a sphere is defined mathematically as the set of points that are all at the same distance r from a given point in a three-dimensional space. Students often forget the different geometrical figures and their shape and thus their respective formulas.
Complete step-by-step answer:
(i) Given , the radius of the sphere is 7 cm
The volume of the sphere is V =$\dfrac{4}{3} \pi r^3$=$\dfrac{4}{3} \pi 7^3=1436.027 cm^3$
(ii) Given , the radius of the sphere is 0.63m
The volume of the sphere=$\dfrac{4}{3} \pi r^3=\dfrac{4}{3} \pi 0.63^3 m^3=1.047 m^3$
To find the volume of a sphere , one has to know the radius of the sphere and put it in the formula V =$\dfrac{4}{3} \pi r^3$. In the above two given spheres , the radius is given in different measurements . Students mostly go wrong noticing that .
Note: A sphere is an object in three-dimensional space that is the surface of a ball. Like a circle in a two-dimensional space, a sphere is defined mathematically as the set of points that are all at the same distance r from a given point in a three-dimensional space. Students often forget the different geometrical figures and their shape and thus their respective formulas.
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