CBSE 2025 · Region 4 · Set 3 · Q33 · 5 marks
A bat manufacturing company made a huge bat for charity and got it signed by world cup winning team. The dimensions of the bat which is in the form of a cuboid with a cylindrical handle at the top are as follows : length $\displaystyle =2 \mathrm{~m}$, width $\displaystyle =0.5 \mathrm{~m}$, thickness $\displaystyle =0.1 \mathrm{~m}$ diameter of cylindrical part $\displaystyle =0.1 \mathrm{~m}$ height of cylindrical part = $\displaystyle 0.7$ m Find the volume of wood used in the bat. Also, find the total surface area of the wooden bat.
Marking-scheme solution
Radius of cylindrical part \(\displaystyle =\frac{0.1}{2} \mathrm{~m}\) or \(\displaystyle \frac{1}{20} \mathrm{~m}\)
Volume of wood = Volume of cuboid + volume of cylinder
\[\begin{aligned}
& =2 \times 0.5 \times 0.1+\frac{22}{7} \times \frac{0.1}{2} \times \frac{0.1}{2} \times 0.7 \\
& =\frac{211}{2000} \text { or } 0.1055 \mathrm{~m}^{3}
\end{aligned}
\]
Total surface area of bat = TSA of cuboid + CSA of cylinder
\[\begin{aligned}
& =2(2 \times 0.5+0.5 \times 0.1+0.1 \times 2)+2 \times \frac{22}{7} \times \frac{0.1}{2} \times 0.7 \\
& =\frac{5}{2}+\frac{11}{50}=\frac{68}{25} \text { or } 2.72 \mathrm{~m}^{2}
\end{aligned}
\]
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CBSE Class 10 Mathematics past-paper question from the 2025board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.