Name of Lecturer: Mr. J.Agius
Course: HVAC 2
Lesson 28
Chapter 9. More Areas & Volume
Problems
1.
This is a typical drainage pipe reducer. It has a
circular cross-section, the form of a frustum in
the upper part and a cylinder in the lower part.
By following the procedure down below
calculate the amount of water in litres this pipe
reducer can hold.
Upper cross-section
20 cm Ø
8 cm
Cylindrical part
Frustum part
Lower cross-section
2. More Areas & Volume
22 cm
32 cm Ø
Page 1
Name of Lecturer: Mr. J.Agius
Course: HVAC 2
Step 1:
Calculate the volume of the cylindrical part in cm3. Correct the answer
to 2 d.p.
Step 2:
Calculate the volume of the frustum part in cm3. Correct the answer to 2
d.p. (Note; use the equations given at the end of the paper).
Step 3:
Add the answers found in step 1 and in step 2.
Step 4:
Change the answer found in step 3 to litres. Correct the answer to 3 s.f.
2. More Areas & Volume
Page 2
Name of Lecturer: Mr. J.Agius
2.
Course: HVAC 2
This figure shows a hollow plug cap in the form of a 28.45 mm (L) thick
frustum of a pyramid having circular ends of diameter 8.64 mm (D) and 4.57
mm (d) respectively. The hollow section is in the form of a 25.4 mm (IL) high
cylinder with a diameter of 1.57 mm (ID).
Step 1:
Calculate the volume of the hollow section in mm3. Correct the
answer to 2d.p.
Step 2:
Calculate the volume of the frustum part in mm3. Correct the
answer to 2d.p. (Note; use the equations given at the end of the
paper).
Step 3:
Subtract the answers found in step 1 and in step 2 to obtain the
volume of the hollow plug cap.
Step 4:
Change the answer found in step 3 to cm3. Correct the answer to
3 s.f.
Step 5:
Determine the mass of the plug if it is made of silicone having a
density of 1.29g/cm3. (Note.
)
2. More Areas & Volume
Page 3
Name of Lecturer: Mr. J.Agius
3.
Course: HVAC 2
This is a typical cooker hood. It has;
i.
a cuboid form in the lower part
ii.
a rectangular cross-section, the form
of a frustum in the middle part
iii.
a cuboid form in the upper part.
By following the procedure down below
calculate the volume of this cooker hood.
All measurements are in mm.
Step 1:
Calculate the volume of the cuboid of the lower part in mm3. Write the
answer in standard form.
Step 2:
Calculate the volume of the cuboid of the upper part in mm3. Write the
answer in standard form.
Step 3:
Calculate the volume of the frustum part in mm3. Write the answer in
standard form. (Note; use the equations given at the end of the paper).
Step 4:
Add the answers found in step 1, step 2 and in step 3.
2. More Areas & Volume
Page 4