For the following questions answer them individually
A sphere of radius 6 m is cut into two equal halves. Find the volume of each hemisphere so formed. (Use $$\pi = \frac{22}{7}$$)
The cost of painting a solid cone at 30 paise per $$cm^{2}$$ is ₹660. Find the radius of the cone if its slant height is 15 cm. (Use $$\pi = \frac{22}{7}$$)
The marked price of a toy is Rs.1,600. If the shopkeeper declares a discount of 10% and then 10% cash discount, then what is the selling price of the toy?
The ratio of the weight of Ram, Shyam and Mohan is 7 : 8 : 5 respectively. The average weight of Ram, Shyam and Mohan is 80 kg. What is the average weight of Ram and Shyam ?
Regularly, a shop offers a 12% discount on the marked price. During festive seasons, it offers a successive discount of 10% and the owner still earns a profit of 5%. What would have been the profit in percentage if only 4% successive discount is offered with regular discount?
Find the value of $$60 \div 5 \times (\frac{9}{8} of \frac{4}{3} \div \frac{3}{4} of \frac{2}{3})$$.
Anand can row 8 km/h in still water. It takes him thrice as long to row up as to row down the stream. Find the speed of the stream.
The valuation of a house depreciates at the rate of 10% in a year, compared to its value at the beginning of that year. If the current value of the house is ₹40,00,000, then what will be the value of house after three years?
The average weight of 10 persons increases by 7.9 kg when a new person replaces one of them weighing 20 kg. What is the weight of the new person?