Here are the answers to your questions:
Question 13: What is the shape of the cross section taken perpendicular to the base of a cylinder?
- Answer: Circle
Question 14: The volume of a fish tank is 30 cubic feet. If the density is 0.3 fish over feet cubed, how many fish are in the tank?
- To find the number of fish, multiply the volume by the density: \[ 30 \text{ cubic feet} \times 0.3 \text{ fish/cubic foot} = 9 \text{ fish} \]
- Answer: 9
Question 15: A cylinder has a diameter of 10 cm and a height of 5 cm. What is the volume of the cylinder?
- First, find the radius (which is half the diameter): \[ \text{Radius} = \frac{10 \text{ cm}}{2} = 5 \text{ cm} \]
- Use the volume formula for a cylinder: \[ V = \pi r^2 h \] Substituting π with 3.14, r with 5 cm, and h with 5 cm: \[ V = 3.14 \times (5 \text{ cm})^2 \times 5 \text{ cm} \] \[ V = 3.14 \times 25 \text{ cm}^2 \times 5 \text{ cm} = 3.14 \times 125 \text{ cm}^3 = 392.5 \text{ cm}^3 \]
- Answer: 392.5 cm³
Make sure to double-check each calculation and select the answers accordingly on your exam!