the circumference of the base of a cylindrical vessel is 110 cm and its height is 20 cm how many litres of water it hold
Answers
given:-
circumference of the base of the cylinder = 110cm
height of the cylinder = 20cm
to find the volume, first we needa know it's radius.
we know that the base of the cylinder is circular.
➡ 2πr = circumference
➡ 2 × 22/7 × r = 110cm
➡ 44/7 × r = 110cm
➡ r = 110 × 7/44
➡ r = 2.5 × 7
➡ r = 17.5cm
volume of the cylinder = πr²h
= 22/7 × 17.5 × 17.5 × 20
= 134750/7
= 19250cm³
now, we know that 1000cm³ = 1 litre
therefore 19250cm³ = 19250/1000
= 19.25 litres
hence, it can hold 19.25 litres
Answer:
Step-by-step explanation:
Given:-
Circumference of the base of the cylinder = 110 cm
Height of the cylinder = 20 cm
To find :-
The volume
Solution :-
we know that the base of the cylinder is circular.
So, 1st we will find radius
⇒ 2πr = circumference
⇒ 2 × 22/7 × r = 110 cm
⇒ 44/7 × r = 110 cm
⇒ r = 110 × 7/44
⇒ r = 2.5 × 7
⇒ r = 17.5 cm
Volume of the cylinder = πr²h
= 22/7 × 17.5 × 17.5 × 20
= 19250 cm³
So, we will convert cm³ into letre
1000 cm³ = 1 litre
19250 cm³ = 19250/1000
= 19.25 litres.
Hence, it can hold 19.25 litres of water.