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# A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kilolitres?

**Solution:**

Volume of a cone having radius 'r', and height 'h' = 1/3πr²h

Diameter of the conical pit, 'd' = 3.5 m

Radius of the conical pit, 'r' = 3.5/2 m = 1.75 m

Depth of the conical pit, 'h' = 12m

Volume of conical pit = 1/3πr²h

= 1/3 × 22/7 × 1.75 m × 1.75 m × 12 m

= 38.5 m³

= 38.5 × 1 kilolitres (1m³ = 1000 Litres = 1 kilolitres)

= 38.5 kl

Capacity of the conical pit is 38.5 kilolitres.

**☛ Check: **NCERT Solutions for Class 9 Maths Chapter 13

**Video Solution:**

## A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kilolitres?

NCERT Solutions for Class 9 Maths Chapter 13 Exercise 13.7 Question 5

**Summary:**

It is given that the conical pit of top diameter 3.5 m is 12 m deep. We have found that the capacity of the conical pit is 38.5 kilolitres.

**☛ Related Questions:**

- The volume of a right circular cone is 9856 cm³. If the diameter of the base is 28 cm, find i) height of the cone ii) slant height of the cone iii) curved surface area of the cone
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