Chapter 7 Mensuration Class 10 Maharashtra Board TextBook Solution
Practice set 7.1 | Q 2 | Page 145
Find the volume of a sphere of diameter 6 cm.
Answer:-
The diameter of a sphere is twice the radius, so the radius of the sphere is 6 cm / 2 = 3 cm.
The formula for the volume of a sphere is
V = (4/3)πr³,
where r is the radius of the sphere and π (pi) is a constant approximately equal to 3.14159.
Substituting the value of r = 3 cm in the formula, we get:
V = (4/3)π(3 cm)³
V = (4/3)π(27 cm³)
V = (4/3)π(3 x 3 x 3 cm³)
V = (4/3)π(27 cm³)
V = (4/3)π(27) cm³
V ≈ 113.1 cm³
Therefore, the volume of the sphere is approximately 113.1 cubic centimeters (cm³).
Solution
$$text{The diameter of a sphere is twice the radius, so the radius of the sphere is }frac{6 text{ cm}}{2} = 3 text{ cm.}$$
$$text{The formula for the volume of a sphere is } V = frac{4}{3}pi r^3 text{, where } r text{ is the radius of the sphere and } pi text{ (pi) is a constant approximately equal to } 3.14159.$$
$$text{Substituting the value of } r = 3 text{ cm in the formula, we get:}$$
$$V = frac{4}{3}pi (3 text{ cm})^3$$
$$V = frac{4}{3}pi (27 text{ cm}^3)$$
$$V = frac{4}{3}pi (3 times 3 times 3 text{ cm}^3)$$
$$V = frac{4}{3}pi (27 text{ cm}^3)$$
$$V = frac{4}{3}pi (27) text{ cm}^3$$
$$V approx 113.1 text{ cm}^3$$
$$text{Therefore, the volume of the sphere is approximately } 113.1 text{ cubic centimeters (cm}^3text{).}$$
Chapter 7 Mensuration Textbook Solution 7.1
Practice set 7.1
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