The volume of a sphere is $1.76 \ cm^3$. The volume of $25$ such spheres in terms of significant figures is ...... $cm^3$.

Match the measurements given in List-$I$ with the number of significant figures given in List-$II$.

$A$. $74.083$	$I$. $3$
$B$. $0.029$	$II$. $4$
$C$. $0.002407$	$III$. $2$
$D$. $2.74 \times 10^7$	$IV$. $5$

The correct answer is:

Calculate the length of the arc of a circle of radius $31.0 \, cm$ which subtends an angle of $\frac{\pi}{6}$ at the centre.

The radius of the Earth is $6371 \ km$ and the radius of its orbit around the Sun is $149 \times 10^6 \ km$. The order of magnitude of the diameter of the orbit is greater than that of the Earth by

Match the numbers in Column-$I$ with the number of significant figures in Column-$II$.

Column-$I$	Column-$II$
$(1)$ $2.85 \times 10^{26} \ kg$	$(a)$ $1$
$(2)$ $0.009 \ m^2$	$(b)$ $2$
$(3)$ $0.060 \ s$	$(c)$ $3$

In an experiment on a simple pendulum to determine the acceleration due to gravity,a student measures the length of the thread as $63.2 \,cm$ and the diameter of the pendulum bob as $2.256 \,cm$. The student should take the length of the pendulum to be ........... $cm$.