A rectangular prism has a length of 100 cm, a height of 10 cm and a width of 5 cm.
What is the volume of the rectangular prism?
A. 3100 square centimeters
B. 1550 square centimeters
C. 5000 square centimeters
D. 1200 square centimeters
2. A cylinder has a diameter of 5 meters and a height of 10 meters.
What is the volume of the cylinder?
A. 188.4 meters cubed
B. 117.75 meters cubed
C. 176.625 meters cubed
D. 196.25 meters cubed
3. A cylinder has a radius of 10 meters and a height of 100 meters.
What is the volume of the cylinder?
A. 65,904 meters cubed
B. 69,008 meters cubed
C. 37,680 meters cubed
D. 31,400 meters cubed
I'll be glad to check your answers.
These sites will help you.
http://math.about.com/od/formulas/ss/surfaceareavol_4.htm
http://www.mathopenref.com/cylindervolume.html
C
B
D?
1 and 3 are correct.
2 is wrong. Did you use the radius in this problem?
no
What is your answer using the radius?
im not sure how to solve this problem at all
Solve it the same way you solved # 3.
V = pi * r^2 * h
See the website above for more explanation.
divide the left and right side of the equation by ð r^2
V / (ð r ^2) = h ?
You need to find the volume of the cylinder. Use the volume formula above.
To find the volume of a rectangular prism, you need to multiply the length, width, and height of the prism.
For the first question, the length of the rectangular prism is given as 100 cm, the height is given as 10 cm, and the width is given as 5 cm. Simply multiply these three values together:
Volume of the rectangular prism = length * width * height = 100 cm * 5 cm * 10 cm = 5000 cm^3
Therefore, the correct answer is C. 5000 square centimeters.
To find the volume of a cylinder, you need to use the formula V = π * r^2 * h, where r is the radius of the base and h is the height of the cylinder.
For the second question, the diameter of the cylinder is given as 5 meters. To find the radius, divide the diameter by 2:
Radius = diameter / 2 = 5 meters / 2 = 2.5 meters
Now, the radius is 2.5 meters and the height is given as 10 meters. Plug these values into the formula for the volume of a cylinder:
Volume of the cylinder = π * (radius)^2 * height = π * 2.5 meters^2 * 10 meters = 78.54 meters^3
Therefore, the correct answer is A. 78.54 meters cubed.
For the third question, the radius of the cylinder is given as 10 meters and the height is given as 100 meters. Let's use the same formula as before:
Volume of the cylinder = π * (radius)^2 * height = π * 10 meters^2 * 100 meters = 31,400 meters^3
Therefore, the correct answer is D. 31,400 meters cubed.