$6$ . Sebuah tong berbentuk tabung dengan panjang jari-jari $15 \mathrm{~cm}$ dan tinggi tong $42 \mathrm{~cm}$ , maka tong tersebut dapat diisi cat sebanyak ... $\mathrm{cm}^{3}$ . $\newline$ a. $2$ , $97$ $\newline$ b. $2$ , $79$ $\newline$ c. $27$ . $973$ $\newline$ ×. $29$ . $673$

Full solution

6

. Sebuah tong berbentuk tabung dengan panjang jari-jari

15 \mathrm{~cm}

dan tinggi tong

42 \mathrm{~cm}

, maka tong tersebut dapat diisi cat sebanyak ...

\mathrm{cm}^{3}

\newline

2

97

\newline

2

79

\newline

27

973

\newline

×.

29

673

Calculate base area: Calculate the area of the base of the cylinder using the formula for the area of a circle, $A = \pi r^2$ . $A = \pi \times (15 \, \text{cm})^2 = \pi \times 225 \, \text{cm}^2 = 706.5 \, \text{cm}^2$ (approximately, using $\pi \approx 3.14$ ).
Find volume: Multiply the area of the base by the height to find the volume of the cylinder, $V = A \times h$ . $V = 706.5 \, \text{cm}^2 \times 42 \, \text{cm} = 29673 \, \text{cm}^3$ .
Check options: Check the options to see which one matches our calculation. $\newline$ The correct answer is $29.673\,\text{cm}^3$ , which corresponds to option d.