Question

A juice seller serves his customers using a glass as shown in figure 6. The inner diameter of the cylindrical glass is 5 cm, but the bottom of the glass has a hemispherical portion raised which reduces the capacity of the glass. If the height of the glass is 10 cm, find the apparent capacity of the glass and its actual capacity. (Use p = 3.14)

Answer 1

Answer:

226.08 cm³

Step-by-step explanation:

Find the volume of the cylinder:

Volume = πr²h

Volume = π(5 ÷ 2)²(10) = 90π cm³

Find the volume of the hemisphere:

Volume = 2/3 πr³

Volume = 2/3 π(5 ÷ 2)³ = 18π cm³

Find the capacity of the glass:

Capacity = 90π - 18π = 72π = 226.08 cm³

Answer: Its actual capacity is 226.08 cm³

Answer 2

ANSWER:-

Given:

•Inner diameter of the glass= 5cm.

So,

Radius= d/2

=) 5/2

=) 2.5cm

•Height= 10cm

Now,

Volume of the cylindrical glass= πr²h

=) 22/7 × 2.5 × 2.5 × 10

=) 3.14× 2.5 × 2.5 × 10

=) 196.25cm³

&

Volume of hemisphere:

•Radius of hemisphere= 2.5cm.

Formula of the volume of hemisphere is;

=) 2/3×π ×r³

=) 2/3 × 3.14 × 2.5 × 2.5 × 2.5

=) 2/3 × 3.14 × 15.62

=) 32.7cm³

Therefore,

•Apparent capacity of the glass= volume of the cylinder= 196.25cm².

•Actual Capacity of the glass:

Total volume of cylinder-volume of hemisphere

=) 196.25cm³ - 32.7cm³

=) 163.54cm³

Hope it helps ☺️