A cylindrical water tank has a radius of 7 cm and a height of 10 cm. What is its volume? (Use \(\pi = \tfrac{22}{7}\))
1540 cm3
Volume of a cylinder: \(V=\pi r^2h\), with r=7 cm and h=10 cm.
Using \(\pi=\tfrac{22}{7}\): \(V=\tfrac{22}{7}\times49\times10 = 22\times7\times10 = 1540\) cm3.
Hence, the volume of the cylindrical tank is 1540 cm3.
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?