Question

Match the List-I with List-II for the given isometric projection of combination of solids:

• A. (ii), (i), (iv), (iii)
• B. (i), (ii), (iii), (iv)
• C. (ii), (i), (iii), (iv)
• D. (i), (ii), (iv), (iii)

Hint:

In matching questions, verify geometric labels carefully—symbols like \(\phi\) and \(R\) help decode dimensions precisely.

Answer 1

The Correct Option is C

The given isometric figure shows a combination of two solids:
- A sphere on top (not a hemisphere since the full sphere is shown), and
- A hemisphere at the bottom (flat base resting on H.P.).
Let’s match the items one by one:
(1) Top solid: The solid shown at the top is a complete circle from all views, labeled with R 25, which confirms it's a sphere. So, match (1) with (ii).
(2) Bottom solid: The base is a dome-like shape sliced in half horizontally, indicating a hemisphere. So, match (2) with (i).
(3) Radius of sphere: The sphere's radius is marked as R 25, so match (3) with (iv).
(4) Radius of hemisphere: The bottom solid has a diameter of \(\phi 80\), hence the radius is \( \frac{80}{2} = 40 \text{ mm} \). So, match (4) with (iii).
Thus, the correct matching is: (1) → (ii), (2) → (i), (3) → (iv), (4) → (iii)