K C Sisodia Solutions for Chapter: Assignments, Exercise 4: ASSIGNMENTS

Make $\text{'}r\text{'}$ the subject of the formula $\mathrm{V}=\frac{1}{3}{\mathrm{\pi r}}^2\mathrm{h}$

A kite is flying at a height of $120 \mathrm{m}$ from the level ground. It is attached to a string inclined at $60°$ to the horizontal. Find the length of the string. Use $\sqrt{3}=1.73$ and give answer to one decimal place.

From the given figure, find the area of the trapezium $ABCD \left(\mathrm{in} {\mathrm{cm}}^2\right)$.

A chemist has $30 \mathrm{litres}$ of solution containing $70\%$ acid. How many litres of water should be added to it so that the resultant solution contains $50\%$ acid?

At what rate per cent per annum compound interest will $₹6250$ amount to $₹7290$ in $2$ years.

A T.V. and a V.C.P.  are sold for $₹10,200$ and $₹5,390$ respectively gaining $20\%$ on T.V. and making a loss of $20\%$ on V.C.P. Find his gain or loss on the whole transactions.

If $x+\frac{1}{x}=4$, find the values of $\left(x^2-\frac{1}{x^2}\right)$.

In the given figure, area of $△\mathrm{PQR}=44.8 {\mathrm{cm}}^2, \mathrm{PL}=\mathrm{LR}$ and $\mathrm{QM}=\mathrm{MR}$. Find the area of $△\mathrm{LMR}$ in ${\mathrm{cm}}^2$