Surface Area of Sphere

Difference between Sphere and Circle

Surface Area of Sphere

What is the surface area of sphere ? Suppose we have a sphere shaped object like as mentioned in the below diagram So all area around the circumference is the surface area of ball and the formula to find its surface area is - Surface Area of Sphere = 4 x Π x Radius2 Let's try some examples to find the surface area of sphere - Example : 1 - The radius of a ball is 10cm. Find the surface area of ball Solution : Given things are Radius = 10cm Value of Π 3.142 Surface Area of Sphere = 4 x Π x Radius2 Surface area of Sphere = 4 x 3.142 x 102 Surface area of Sphere = 12.568 x 100 Surface area of Sphere = 1256.8cm Example : 2 - The radius of a ball is 25cm. Find the surface area of ball Solution : Given things are Radius = 25cm Value of Π 3.142 Surface Area of Sphere = 4 x Π x Radius2 Surface area of Sphere = 4 x 3.142 x 252 Surface area of Sphere = 12.568 X 625 Surface area of Sphere = 7855cm Example : 3 - Find the surface area of football which has a radius of 50cm Solution : Given things are Radius = 50cm Value of Π 3.142 Surface Area of Sphere = 4 x Π x Radius2 Surface area of Sphere = 4 x 3.142 x 502 Surface area of Sphere = 12.568 x 2500 Surface area of Sphere = 31420cm Example : 4 - Find the radius and diameter of sphere shaped balloon which has a surface area of 31420cm Solution : Given things are Surface Area = 31420cm Value of Π 3.142 First we will find the radius of sphere shaped balloon Radius = 1/2 x √ Surface Area / Π Radius = 1/2 x √ 31420 / 3.142 Radius = 1/2 x √ 10000 Radius = 1/2 x 100 Radius = 50cm Now we will find the diameter of balloon. As we know that diameter is twice of radius so the steps to find diameter are Diameter = 2 x Radius Diameter = 2 x 50 Diameter = 100cm Study More Solved Questions / Examples Find the radius and diameter of sphere shaped ball which has the following surface area A) Surface area of 39123 cm ? B) Surface area of 48286 cm ? C) Surface area of 26725 cm ? D) Surface area of 29829 cm ? Find the surface area of ball which has the following radius A) Radius of 87 cm ? B) Radius of 68 cm ? C) Radius of 88 cm ? D) Radius of 53 cm ? E) Radius of 63 cm ? Find the surface area of football which has the following radius A) Radius of 48 cm ? B) Radius of 40 cm ? C) Radius of 35 cm ? D) Radius of 50 cm ? E) Radius of 30 cm ? Find the surface area of balloon which has the following radius A) Radius of 42 cm ? B) Radius of 61 cm ? C) Radius of 65 cm ? D) Radius of 48 cm ? E) Radius of 82 cm ? Find the surface area of balloon which has a radius the following radius F) Radius of 47 cm ? G) Radius of 82 cm ? H) Radius of 99 cm ? Find the radius and diameter of sphere shaped football which has the following A) Surface area of 42630 cm ? B) Surface area of 25815 cm ? Find the radius and diameter of sphere shaped globe which has the following surface area A) Surface area of 46964 cm ? B) Surface area of 44109 cm ? C) Surface area of 42270 cm ? D) Surface area of 31578 cm ? Find the radius and diameter of sphere shaped balloon which has the following surface areas A) Surface area of 27306 cm ? B) Surface area of 31963 cm ? C) Surface area of 37583 cm ?