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A heap of rice is in the form of a cone of diameter 9 m and height 3.5 m. Find the volume of the rice. How much canvas cloth is required to just cover the heap

Solution:

Given, a heap of rice is in the form of a cone of diameter 9 m and height 3.5 m

We have to find the volume of the rice.

We have to find the quantity of canvas cloth required to just cover the heap.

Volume of cone = (1/3)πr²h

Given, diameter = 9 m

Radius = 9/2 = 4.5 m

Height = 3.5 m

Volume of rice = (1/3)(22/7)(4.5)²(3.5)

= 74.25 m³

Therefore, the volume of rice is 74.25 m³.

Canvas cloth required to just cover the heap = curved surface area

Curved surface area of cone = πrl

We know l = √r² + h²

l = √(4.5)² + (3.5)²

l = √20.25 + 12.25

l = √32.5

l = 5.7 m

Curved surface area = (22/7)(4.5)(5.7)

= 80.61 m²

Therefore, the canvas cloth required to just cover the heap is 80.61 m².

✦ Try This: A heap of rice is in the form of a cone of diameter 8 m and height 1.5 m. Find the volume of the rice. How much canvas cloth is required to just cover the heap?

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 13

NCERT Exemplar Class 10 Maths Exercise 12.4 Problem 6

A heap of rice is in the form of a cone of diameter 9 m and height 3.5 m. Find the volume of the rice. How much canvas cloth is required to just cover the heap

Summary:

A heap of rice is in the form of a cone of diameter 9 m and height 3.5 m. The volume of the rice is 74.25 m³. 80.61 m² of canvas cloth is required to just cover the heap

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