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Mathematics · 2022 · 2 marks
CBSE 2022 · Region 3 · Set 1 · Q4
$\displaystyle 150$ spherical marbles, each of diameter $\displaystyle 1 \cdot 4$ cm, are dropped in a cylindrical vessel of diameter $\displaystyle 7$ cm containing some water, and are completely immersed in water. Find the rise in the level of water in the cylindrical vessel.Three cubes of side $\displaystyle 6$ cm each, are joined as shown in Figure 1. Find the total surface area of the resulting cuboid.
Figure $\displaystyle 1$
$\displaystyle 150$ spherical marbles, each of diameter $\displaystyle 1 \cdot 4$ cm, are dropped in a cylindrical vessel of diameter $\displaystyle 7$ cm containing some water, and are completely immersed in water. Find the rise in the level of water in the cylindrical vessel.
Three cubes of side $\displaystyle 6$ cm each, are joined as shown in Figure 1. Find the total surface area of the resulting cuboid.
Figure $\displaystyle 1$
Marking-scheme solution
\(\displaystyle n\)th terms are \(\displaystyle 9+(n-1)(-2)\) and \(\displaystyle 15+(n-1)(-3)\)
Thus, \(\displaystyle 9-2(n-1)=15-3(n-1)\) gives \(\displaystyle n=7\)
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CBSE Class 10 Mathematics past-paper question from the 2022board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.