Chapter 7 Mensuration Class 10 Maharashtra Board  TextBook Solution

Practice Set 7.1

Find the volume of a cone if the radius of its base is 1.5 cm and its perpendicular
height is 5 cm.

Answer:-

The formula for the volume of a cone is:

V = (1/3)πr²h

where: V = volume of the cone π = pi (approximately 3.14)

r = radius of the base of the cone

h = height of the cone, measured along its perpendicular axis

Substituting the given values, we get:

V = (1/3)π(1.5 cm)²(5 cm)

V = (1/3)π(2.25 cm²)(5 cm)

V = (1/3)π(11.25 cm³)

V = (3.75)π cm³

V ≈ 11.78 cm³

Therefore, the volume of the cone is approximately 11.78 cubic centimeters.

Solution
The formula for the volume of a cone is:
$$V = frac{1}{3}pi r^2 h$$
where:
$V$ = volume of the cone
$$pi$$ = pi (approximately 3.14)
$$r$$ = radius of the base of the cone
$$h$$ = height of the cone, measured along its perpendicular axis
Substituting the given values, we get:
$$V = frac{1}{3}pi (1.5 text{ cm})^2(5 text{ cm})$$
$$V = frac{1}{3}pi (2.25 text{ cm}^2)(5 text{ cm})$$
$$V = frac{1}{3}pi (11.25 text{ cm}^3)$$
$$V = (3.75)pi text{ cm}^3$$
$$V approx 11.78 text{ cm}^3$$
Therefore, the volume of the cone is approximately 11.78 cubic centimeters.

Chapter 7 Mensuration Textbook Solution 7.1

Practice set 7.1

Q. 1


Q. 2

Click Here for all Textbook Answers of Chapter 7 Mensuration