For the following questions answer them individually
Ranu carries water to school in a cylindrical flask with diameter 12 cm and height 21 cm. Determine the amount of water that she can carry in the flask.(Use $$\pi = \frac{22}{7}$$)
A policeman follows a thief, who is 1250 m ahead of him. The policeman and the thief run at the speed of 10 km/h and 8 km/h, respectively. The distance (in km) run by the thief before he is nabbed by the policeman is:
If $$\sec \theta + \tan \theta = 5, (\theta \neq 0)$$, then $$\sec \theta$$ is equal to:
In a circle, a 14 cm long chord is at 24 cm from the centre of the circle. Find the length of the radius of the circle.
A man takes 15 minutes to row 16 km downstream, which is 25% less than the time he takes to row the same distance upstream. How many kilometres can the man row in an hour in still water? (Rounded off to nearest whole number)
To do a certain work, Ajay and Bharat work on alternate days, with Bharat starting the work on the first day. Ajay can finish the work alone in 32 days. If the work gets completed in exactly 8 days, then Bharat alone can finish 7 times the same work in ______ days.
If $$\sec \theta + \cos \theta = 32$$, then $$\sec^2 \theta + \cos^2 \theta$$ is ________________.
A, Band C can separately complete a work in 12, 15 and 20 days, respectively. They worked together 4 days. What will be the remaining work?
If $$x > 0$$, and $$x^4 + \frac{1}{x^4} = 254$$, what is the value of $$x^5 + \frac{1}{x^5}$$?
A shopkeeper gains 20% in place of 16% loss if the selling price of an article is increased by ₹324. The cost price of the article is: