Teachoo MCQ Test

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Chapter 12 Class 10 Surface Areas and Volumes | 5 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
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Question 1 of 5
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Question 1 of 5
CBSE Board Exam 2026
A cone of maximum size is carved out from a solid cube of edge length \(l\). The volume of the cone is :
Select one option. Answers are shown after the test.
Question 2 of 5
CBSE Board Exam 2026
Three tennis balls are just packed in a cylindrical jar. If radius of each ball is r, volume of air inside the jar is
Select one option. Answers are shown after the test.
Question 3 of 5
Figure 1 below is a solid cuboid made of unit cubes. Figure 2 is obtained after removing some unit cubes from figure 1.
Based on the figures shown above, the surface area of the cuboid in Figure 1 is
\(\_\_\_\_\) the surface area of the solid in Figure 2.
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Question 4 of 5
A container with a grey hemispherical lid has radius R cm . In figure 1, it contains water upto a height of \(\mathbf{R} \mathbf{~ c m}\). It is then inverted as shown in figure 2.

What is the height of water in figure 2?
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Question 5 of 5
Anishka melted 11 chocolate cubes in a cylindrical cup as shown.
If the length of the side of each cube is \(\boldsymbol{k} \mathbf{~ c m}\) and the radius of the cup is \(\boldsymbol{r} \mathbf{c m}\), which of these represents the height of the melted chocolate in the cup?
(Note: Take \(\pi=\frac{22}{7}\).)
Select one option. Answers are shown after the test.