A vase in the shape of an oblique cylinder has the dimensions shown. What is the volume of the vase?
2 answers:
The image is missing so i have attached it.
Answer:
Volume = 1.5 litres
Step-by-step explanation:
Using pythagoras theorem, we can get the height (h) of the cylinder
14² + h² = 17²
h² = 289 - 196
h = √93
Now, volume of a cylinder is;
V = πr²h
In the image, r = diameter/2 = 14/2 = 7cm
Thus,
V = π × 7² × √93
V = 1485 cm³
Now, 1 litre = 1000 cm³
Thus, volume = 1485/1000 = 1.485 litres ≈ 1.5 litres
Answer:
4.3litres
Step-by-step explanation:
This question is incomplete without the diagram. The diagram will enable us get accurate answers.
From the question, it is clear we are to look for the volume of the oblique cylinder whose height isn't given but other parameters like the radius and slant height are given.
Find attached the diagram used for solving the question.
Using Pythagoras theorem,
(Hypotenuse) ^2 = (adjacent)^2 + (opposite)^2
Hypotenuse = 17cm
opposite = h
adjacent = radius = 10cm
17^2 = 10^2 + h^2
h^2 = 17^2 - 10^2
h^2 = 289 - 100 = 189
h= √189 =√(9×21)
h = 3√21 cm
Volume of the oblique cylinder = πr^2 h
= 3.14 × 10^2 × 3√21
Volume of the oblique cylinder = 4316.79cm^3
1000cm^3 = 1litre
4316.79cm^3 = 4.31679litres
Volume of the oblique cylinder = 4.3litres
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