Question 1 :
A metallic sphere of radius $10.5 cm$ is meltedand then recast into small cones each of radius$3.5 cm$and height$3 cm$. The number of suchcones is
Question 2 :
Find the volume of the frustum cone whose base and topradius is 11 in and 6 in respectively. The height of the cone is 36 in. (Use $\pi$= 3.14).
Question 3 :
If the ratio of the radii of the circular ends of a conical bucket whose height is $60$cm is $2:1$ and addition of the areas is $770$ sq.cm. Find the capacity of the bucket in litres.<br>
Question 4 :
The volume of a frustum cone is 560 $m^3$, whosebase and upper area of a circle is 90 and 10 $m^2$. Find the height of the cone.
Question 5 :
A vessel is in the form of a frustum of a cone.Its radius at top end is 8 cm and the bottom end is 12 cm. Its height is 21 cm.Find the volume of the frustum cone.
Question 6 :
A(2,6) and B(1,7) are two vertices of a triangle ABC and the centroid is (5,7) The coordinates of C are
Question 7 :
A line is of length $10$ m and one end is $(2,-3)$, the $x$ - co-ordinate of the other is $8$, then its $y$- coordinate is:
Question 8 :
If the two vertices of an equilateral triangle be (0, 0) and (3,$\sqrt{3}$ ), then the co-ordinates of third vertex are<br>
Question 9 :
The ratio by which the line $2x + 5y - 7 = 0$ divides the straight line joining the points $(-4, 7) $ and $(6, -5)$ is
Question 10 :
The points $A\left( {2a,\,4a} \right),\,B\left( {2a,\,6a} \right)\,$ and $C\left( {2a + \sqrt 3 a,\,5a} \right)$ (when $a>0$) are vertices of