7. Enzar has 125 ml of water. He wants to pour it into one of four cylindrical bottles. \( 1 \mathrm{~cm}^{3}=1 \mathrm{ml} \) Which bottle will hold all the water? How do you know? \( \square \) Bottle A: diameter \( =7 \mathrm{~cm} \), height \( =3 \mathrm{~cm} \) Bottle C: radius \( =3.5 \mathrm{~cm} \), height \( =7 \mathrm{~cm} \) Bottle \( B \) : radius \( =2 \mathrm{~cm} \), height \( =6 \mathrm{~cm} \) Bottle D: diameter \( =3 \mathrm{~cm} \), height \( =4 \mathrm{~cm} \)

To find out which bottle can hold Enzar's 125 ml of water, we start by calculating the volume of each bottle using the formula for the volume of a cylinder: \( V = \pi r^2 h \). 1. For Bottle A (diameter = 7 cm, radius = 3.5 cm, height = 3 cm): \( V_A = \pi (3.5^2)(3) \approx 36.75\pi \approx 115.5 \, \text{ml} \) 2. For Bottle B (radius = 2 cm, height = 6 cm): \( V_B = \pi (2^2)(6) = 24\pi \approx 75.4 \, \text{ml} \) 3. For Bottle C (radius = 3.5 cm, height = 7 cm): \( V_C = \pi (3.5^2)(7) \approx 85.75\pi \approx 269.3 \, \text{ml} \) 4. For Bottle D (diameter = 3 cm, radius = 1.5 cm, height = 4 cm): \( V_D = \pi (1.5^2)(4) = 9\pi \approx 28.3 \, \text{ml} \) Now, comparing the volumes, only Bottle C, with a volume of approximately 269.3 ml, can hold all of Enzar's 125 ml of water. The other bottles do not have sufficient capacity. Here's a fun fact: the word "cylinder" comes from the Latin word "cylindrus," which means "roller." So, you could say these bottles are literally rolling in volume potential! If you ever need to calculate the volume of a cylinder in real life, just grab a ruler and measure! Remember to use consistent units (cm for radius and height) to avoid any mix-ups. Always check if your bottle can hold your desired volume before getting ready to pour—it can save you from spills!