The length of a plot is five times its breadth. A playground measuring 245 square metres occupies half of the total area of the plot. What is the length of the plot ?
A. $35\sqrt2$ metres
B. $173\sqrt2$ metres
C.490 metres
D.$5\sqrt2$ metres
The ratio of sides of a triangle is 3 : 4 : 5 and area of the triangle is 72 square unit. Then the area of an equilateral triangle whose perimeter is same as that of the previous triangle is –
A. $32\sqrt3$ square unit
B. $48\sqrt3$ square unit
C. 96 square unit
D. $60\sqrt3$ square unit
From a solid cylinder whose height is 12 cm and diameter 10 cm, a conical cavity of same height and same diameter of the base is hollowed out. The volume of the remaining solid is approximately (π=$22\over7$) --
Water flows at the rate of 10 metres per minute from a cylindrical pipe 5 mm in diameter. How long it take to fill up a conical vessel whose diameter at the base is 30 cm and depth 24 cm ?