Question

3. What is the volume of a cylinder in which:
(a) area of the base =45 sq.cm, height=6 cm
(b) area of the base = 12 sq.m, height=20 m
(C) area of the base = 10 sq.cm, height=6m

Answer 1

Answer:

Step-by-step explanation:

volume of a cylinder = π(r)^2 h    [ π = 3.14 and h = height]

(a): area of the circular base = πr^2

3.14( r) ^2 = 45cm2

r^2 = 45 / 3.14

r^2 = 14.33

r = √14.33

r = 3.78 cm

now find the volume = π(r)^2 *h

3.14 ( 3.78) ^2 * 6 = 269.1 cm3

(b): area of the circular base = πr^2

3.14( r) ^2 = 12 m2

r^2 = 12 / 3.14

r^2 = 3.82

r = √3.82

r = 1.95 m

now find the volume = π(r)^2* h 

3.14 ( 1.95 ) ^2 * 20 = 238.7 m3

(b): area of the circular base = πr^2

 3.14( r) ^2 = 10 cm2

r^2 = 10 / 3.14

r^2 = 3.18

r = √3.18

r = 1.78 cm

now find the volume = π(r)^2* h 

3.14 ( 1.78 ) ^2 * 6 = 59.69 cm3