What is the height (in m) of a conical water tank having radius of 70m and volume of 46,200m3? \((\text{Take } \pi = \frac{22}{7})\)
The pie chart below shows the percent sale of different fruits in a day for a shop. If the total number of fruits sold by a fruit seller in a day is 1200, what is the combined central angle in the pie chart for oranges and apples?
Simplify the following expression
\(\frac{(x - y)^3 + (y - z)^3 + (z - x)^3}{(x - y)(y - z)(z - x)}\)
From a circle of radius 7 units, an arc length is cut by a chord of length 7 units. What is the arc length of the smaller portion (in units)?
\(\dfrac{8}{3}\pi\)
\(\dfrac{7}{6}\pi\)
\(\dfrac{7}{3}\pi\)
\(\dfrac{7}{4}\pi\)