Question

A vase in the shape of an oblique cylinder has the dimensions shown. What is the volume of the vase?

Enter your answer to the nearest tenth of a liter. (Hint: Use the right triangle in the cylinder to find its
helght.)
17 cm
10 cm
The volume of the vase is
liters.​

Answer 1

4.3litres

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

Answer 2

The image is missing so i have attached it.

Answer:

Volume = 1.5 litres

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