MSW Sheet Metal Work: Mensuration, Marking, Riveting & Cylinder/Cone Fabrication: 17 MCQs with answers
All 17 multiple-choice questions from this kit, free and with no sign-up.
Warm-up · 6 questions
Q1. A cylinder has base radius $r$ and height $h$. Which formula gives its curved surface area?
BeginnerShow answer & explanation
$2\pi rh$
The curved surface of a cylinder unrolls into a rectangle of width $2\pi r$ and height $h$, so CSA $= 2\pi rh$.
Q2. For a cone, which relationship correctly gives the slant height $l$ in terms of base radius $r$ and height $h$?
BeginnerShow answer & explanation
$l = \sqrt{r^2 + h^2}$
The slant height, radius, and height form a right triangle, so Pythagoras gives $l = \sqrt{r^2 + h^2}$.
Q3. A cone and a cylinder have the same base radius and the same height. What is the ratio of their volumes (cone : cylinder)?
BeginnerShow answer & explanation
1:3
The cone’s volume is $\frac{1}{3}\pi r^2 h$ while the cylinder’s is $\pi r^2 h$, giving a ratio of 1:3.
Q4. Which tool is specifically designed to mark circles and equal intervals on sheet metal?
BeginnerShow answer & explanation
Divider
A divider has two sharp points and is used to scribe circles and step off equal distances.
Q5. What is the main purpose of a center punch in sheet-metal work?
BeginnerShow answer & explanation
To create a small indentation that guides the drill bit
A center punch makes a conical dent (0.5–1 mm deep) so the drill bit does not wander on the smooth surface.
Q6. A cone’s volume is exactly one-third of the volume of a cylinder with the same base radius and height, giving a fixed 3:1 volume ratio.
BeginnerShow answer & explanation
True
A cone’s volume is exactly one-third of the volume of a cylinder with the same base radius and height, giving a fixed 3:1 volume ratio.
Building up · 6 questions
Q7. A cylindrical pipe has outer radius $R$ and inner radius $r$. Which expression gives the volume of metal in the pipe of length $h$?
IntermediateShow answer & explanation
$\pi(R^2 - r^2)h$
The metal volume is the difference between the outer and inner cylinder volumes: $\pi R^2 h - \pi r^2 h = \pi(R^2 - r^2)h$.
Q8. A cone has base radius $7\ \text{cm}$ and height $24\ \text{cm}$. What is its slant height?
IntermediateShow answer & explanation
$25\ \text{cm}$
$l = \sqrt{7^2 + 24^2} = \sqrt{49 + 576} = \sqrt{625} = 25\ \text{cm}$.
Q9. A sheet-metal job has a total surface area of $500\ \text{cm}^2$, sheet thickness $0.2\ \text{cm}$, and density $7.8\ \text{g/cm}^3$. What is its weight?
IntermediateShow answer & explanation
$780\ \text{g}$
Volume $= 500 \times 0.2 = 100\ \text{cm}^3$; weight $= 100 \times 7.8 = 780\ \text{g}$.
Q10. In riveting, the hole diameter should be how much larger than the rivet diameter?
IntermediateShow answer & explanation
$0.1$–$0.2\ \text{mm}$ larger
A clearance of 0.1–0.2 mm allows the rivet to enter without force but still fills the hole when set.
Q11. A cone has base radius $3\ \text{cm}$ and slant height $5\ \text{cm}$. What is its total surface area? (Take $\pi = 3.14$.)
IntermediateShow answer & explanation
$75.36\ \text{cm}^2$
TSA $= \pi r(l+r) = 3.14 \times 3 \times (5+3) = 3.14 \times 24 = 75.36\ \text{cm}^2$.
Q12. A cylinder has base area $154\ \text{cm}^2$ and height $10\ \text{cm}$. What is its total surface area? (Take $\pi = \frac{22}{7}$.)
IntermediateShow answer & explanation
$748\ \text{cm}^2$
From $\pi r^2 = 154$, $r = 7\ \text{cm}$. TSA $= 2 \times \frac{22}{7} \times 7 \times (10+7) = 44 \times 17 = 748\ \text{cm}^2$.
Topper level · 5 questions
Q13. A cone and a cylinder have the same volume and the same base radius. How does the cone’s height compare to the cylinder’s height?
AdvancedShow answer & explanation
The cone’s height is three times the cylinder’s height.
Set $\frac{1}{3}\pi r^2 h_{\text{cone}} = \pi r^2 h_{\text{cyl}}$. Cancelling gives $h_{\text{cone}} = 3 h_{\text{cyl}}$.
Q14. A cone has base radius $7\ \text{cm}$ and slant height $25\ \text{cm}$. What is the sector angle of its pattern? (Take $\pi = \frac{22}{7}$.)
AdvancedShow answer & explanation
$100.8^\circ$
$\theta = 360 \times \frac{r}{l} = 360 \times \frac{7}{25} = 360 \times 0.28 = 100.8^\circ$.
Q15. A double riveted lap joint is used instead of a single riveted lap joint. What is the main advantage?
AdvancedShow answer & explanation
It is roughly twice as strong because it has two rows of rivets.
Strength scales with the number of rivets in shear; two rows give approximately double the strength of a single row.
Q16. A cylindrical brass shell has base area $154\ \text{cm}^2$, height $10\ \text{cm}$, thickness $1\ \text{mm}$, and density $8.5\ \text{g/cm}^3$. What is its weight? (Take $\pi = \frac{22}{7}$.)
AdvancedShow answer & explanation
$4080\ \text{g}$
TSA $= 748\ \text{cm}^2$; thickness $= 0.1\ \text{cm}$; volume $= 74.8\ \text{cm}^3$; weight $= 74.8 \times 8.5 = 4080\ \text{g}$.
Q17. A cylindrical pipe has an outer radius of 10 cm, an inner radius of 8 cm, and a length of 50 cm. Calculate the volume of metal in the pipe. Use the formula for the volume of metal in a cylindrical pipe: $V = \pi(R^2 - r^2)h$.
AdvancedShow answer & explanation
3144 cm³
To find the volume of metal in the pipe, we apply the formula: $V = \pi(R^2 - r^2)h$. Here, $R = 10\ ext{cm}$, $r = 8\ ext{cm}$, and $h = 50\ ext{cm}$. Substituting these values gives: $V = \pi(10^2 - 8^2)50 = \pi(100 - 64)50 = \pi(36)50 = 1800\pi$. Using $\pi \approx 3.14$, we find…
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