Chapter 7 Mensuration Class 10 Maharashtra Board TextBook Solution
Practice set 7.1 | Q 4 | Page 145
Find the surface area of a sphere of radius 7 cm.
Answer:-
The surface area of a sphere with a radius of 7 cm is given by the formula:
Surface area = 4πr²
where r is the radius of the sphere.
Substituting r = 7 into the formula, we get:
Surface area = 4π(7)² = 4π(49) = 196π cm²
Therefore, the surface area of the sphere is 196π square centimeters, or approximately 615.75 square centimeters if we approximate the value of π to 3.14.
Solution
The surface area of a sphere is given by the formula:
$$text{Surface area of sphere} = 4pi r^2$$
where $r$ is the radius of the sphere.
Substituting $r = 7$ cm, we get:
$$text{Surface area of sphere} = 4pi (7)^2 = 4pi (49) = 196pi text{ cm}^2$$
Therefore, the surface area of a sphere of radius 7 cm is $196pi$ cm$^2$.
Using a calculator to approximate $$pi$$ to 3.14, the surface area of the sphere is approximately 615.44 cm$$^2$$.
Chapter 7 Mensuration Textbook Solution 7.1
Practice set 7.1
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