The radius of a spherical balloon is increased by 20%. Find the percentage increase in its surface area.
44%
Surface area is proportional to the square of the radius. With radius increased by 20% (multiplier 1.2): \((1.2)^2 = 1.44\).
Hence, the surface area increases by 44%.
The diameter of the base and slant height of a right circular cone are 30 cm and 113 cm, respectively. Find the volume (in cm³) of the given cone.
(Use $\pi = \frac{22}{7}$)
The length and breadth of a cuboid are 50 cm and 75 cm, respectively. If the length of the diagonal is $17\sqrt{29}$ cm, then what is the volume (in $cm^{3}$) of the cuboid?