The photograph shows a water tank in the shape of a cylinder - Junior Cycle Mathematics - Question 10 - 2015
Question 10
The photograph shows a water tank in the shape of a cylinder.
The height (h) and diameter (d) of the tank are marked.
(a) Using your ruler, find the height and the ... show full transcript
Worked Solution & Example Answer:The photograph shows a water tank in the shape of a cylinder - Junior Cycle Mathematics - Question 10 - 2015
Step 1
Using your ruler, find the height and the diameter of the tank in the photograph.
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
From the image:
Height (h) = 2 cm
Diameter (d) = 6 cm
Step 2
Use Jenny’s value to find the actual diameter and the actual radius of the tank.
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Since Jenny thinks the actual height of the water tank is 1 m:
Actual diameter = 6 cm + 2 cm = 3 m
Actual radius = 3 cm + 2 cm = 1.5 m
Step 3
Use Colm’s values to find the volume of the tank.
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Using Colm's values:
Height (h) = 2.1 m
Radius (r) = 1.4 m
The formula for the volume of a cylinder is:
V=πr2h
Substituting the values:
V=π×(1.4)2×2.1
Calculating:
V≈19.4m3 (correct to one decimal place)
Join the Junior Cycle students using SimpleStudy...
