An oil drum has a radius of $210\,\text{cm}$ and a height of $120\,\text{cm}$ . On the first day $528\,\text{liters}$ of oil were sold, while on the second day $835,000\,\text{cc}$ of oil were sold. The remaining oil in the drum is \ (use $\pi = \frac{22}{7}$ ) * $3$ poin $\newline$ $7,754\,\text{dm}^3$ $\newline$ $1,363\,\text{dm}^3$ $\newline$ $15,369\,\text{dm}^3$ $\newline$ $14,369\,\text{dm}^3$

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Q. An oil drum has a radius of

210\,\text{cm}

and a height of

120\,\text{cm}

. On the first day

528\,\text{liters}

of oil were sold, while on the second day

835,000\,\text{cc}

of oil were sold. The remaining oil in the drum is \ (use

\pi = \frac{22}{7}

) *

3

poin

\newline

7,754\,\text{dm}^3

\newline

1,363\,\text{dm}^3

\newline

15,369\,\text{dm}^3

\newline

14,369\,\text{dm}^3

Calculate Volume in cc: Calculate the volume of the oil drum in cubic centimeters (cc). $\newline$ Volume = $\pi r^2h$ $\newline$ = $(\frac{22}{7}) \times (210 \, \text{cm})^2 \times (120 \, \text{cm})$
Convert Radius to dm: Convert the radius to dm by dividing by $10$ since $1 \, \text{dm} = 10 \, \text{cm}$ . $\newline$ Radius in dm = $210 \, \text{cm} / 10$ $\newline$ = $21 \, \text{dm}$
Convert Height to dm: Convert the height to dm by dividing by $10$ as well. $\newline$ Height in dm = $120$ cm / $10$ $\newline$ = $12$ dm
Recalculate Volume in dm: Recalculate the volume of the oil drum using dm. $\newline$ Volume in dm^$3$ = $\pi \times (21 \, \text{dm})^2 \times (12 \, \text{dm})$ $\newline$ = $(\frac{22}{7}) \times 441 \times 12$
Perform Multiplication: Perform the multiplication to find the volume. $\newline$ Volume in $\text{dm}^3 = \left(\frac{22}{7}\right) \times 441 \times 12$ $\newline$ $= 22 \times 63 \times 12$
Complete Multiplication: Complete the multiplication to get the total volume. $\newline$ Volume in $\text{dm}^3 = 22 \times 63 \times 12$ $\newline$ $= 16632 \text{dm}^3$
Convert $1$ st Day's Oil: Convert the first day's sold oil from liters to dm $^3$ . $\newline$ $1$ liter = $1$ dm $^3$ $\newline$ $528$ liters = $528$ dm $^3$
Convert $2$ nd Day's Oil: Convert the second day's sold oil from cc to dm^$3$. $\newline$ $1 \, \text{dm}^3 = 1000 \, \text{cc}$ $\newline$ $835,000 \, \text{cc} = 835 \, \text{dm}^3$
Calculate Total Oil Sold: Calculate the total oil sold by adding both days. $\newline$ Total oil sold = $528 \, \text{dm}^3 + 835 \, \text{dm}^3$ $\newline$ = $1363 \, \text{dm}^3$