# A hemispherical bowl of internal radius 9 cm is full of liquid. The liquid is to be filled into cylindrical shaped bottles each of radius 1.5 cm and height 4 cm. How many bottles are needed to empty the bowl

**Solution:**

Given, a hemispherical bowl of internal radius 9 cm is full of liquid.

The liquid is to be filled into cylindrical bottles each of radius 1.5 cm and height 4 cm.

We have to find the number of bottles needed to empty the bowl.

Volume of hemisphere = (2/3)πr³

Given, Radius = 9 cm

Volume of hemispherical bowl = (2/3)π(9)³

= 486π cm³

Volume of cylindrical bottle = πr²h

Given, radius = 1.5 cm

h = 4 cm

Volume of bottle = π(1.5)²(4)

= 9π cm³

Number of bottles needed = volume of hemispherical bowl/volume of one cylindrical bottle

= 486π/9π

= 486/9

= 54

Therefore, the number of bottles needed is 54.

**✦ Try This: **A hemispherical bowl of internal radius 8 cm is full of liquid. The liquid is to be filled into cylindrical shaped bottles each of radius 2 cm and height 8 cm. How many bottles are needed to empty the bowl?

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

**NCERT Exemplar Class 10 Maths Exercise 12.4 Problem 16**

## A hemispherical bowl of internal radius 9 cm is full of liquid. The liquid is to be filled into cylindrical shaped bottles each of radius 1.5 cm and height 4 cm. How many bottles are needed to empty the bowl

**Summary:**

A hemispherical bowl of internal radius 9 cm is full of liquid. The liquid is to be filled into cylindrical shaped bottles each of radius 1.5 cm and height 4 cm. 54 bottles are needed to empty the bowl

**☛ Related Questions:**

- A solid right circular cone of height 120 cm and radius 60 cm is placed in a right circular cylinder . . . .
- Water flows through a cylindrical pipe, whose inner radius is 1 cm, at the rate of 80 cm/sec in an e . . . .
- The rain water from a roof of dimensions 22 m × 20 m drains into a cylindrical vessel having diamete . . . .

visual curriculum