1. **Problem Statement:** Given $r = 1.38$ cm and $\pi = 3.142$, find the value of $h$ to the nearest first decimal place using logarithm tables. 2. **Understanding the problem:** The problem likely relates to a formula involving $r$, $\pi$, and $h$. Since $h$ is unknown, we need the formula that connects these variables. A common formula involving $r$, $h$, and $\pi$ is the volume or surface area of a cylinder or cone, but since the problem does not specify, we assume the formula is given or implied. 3. **Assuming the formula:** Suppose the formula is $V = \pi r^2 h$ (volume of a cylinder), and we want to find $h$ given $V$ (not provided here). Since $V$ is not given, we cannot proceed without additional information. 4. **Since the problem is incomplete for $h$ calculation, we focus on the second problem about tourists:** (i) **Venn Diagram Information:** - Total tourists: 120 - Ship travelers ($V$): 40 - Aeroplane travelers ($A$): 95 - Neither ship nor aeroplane: 20 (ii) **Find number of tourists who traveled only by ship:** Let $x$ be the number who traveled by both ship and aeroplane. Using the formula for union: $$|V \cup A| = |V| + |A| - |V \cap A|$$ Total who traveled by ship or aeroplane is $120 - 20 = 100$. So, $$100 = 40 + 95 - x \implies x = 40 + 95 - 100 = 35$$ Number who traveled only by ship: $$|V| - |V \cap A| = 40 - 35 = 5$$ (iii) **Percentage who traveled only by aeroplane:** Number who traveled only by aeroplane: $$|A| - |V \cap A| = 95 - 35 = 60$$ Percentage: $$\frac{60}{120} \times 100 = 50\%$$ (iv) **Shade area of tourists who have not traveled at least one of the two ways:** These are tourists who did not travel by ship or aeroplane, i.e., 20 tourists. Set notation for shaded area: $$U - (V \cup A)$$ (v) **If anyone who traveled by ship did not travel by aeroplane:** This means $V$ and $A$ are disjoint sets. Number who traveled by ship only: 40 Number who traveled by aeroplane only: 95 Neither: 20 Venn diagram would show two non-overlapping circles inside the rectangle. **Final answers:** - Number who traveled only by ship: 5 - Percentage who traveled only by aeroplane: 50% - Shaded area set notation: $U - (V \cup A)$