Hello from MrBillDoesMath!
Answer: The cylinder on the left has 4 times the volume of the cylinder on the right.
Discussion.
The volume of a cylinder of height "h" and radius "r" is given by
PI * r^2 * h (r^2 signifies r squared)
(Think of this formula as the area of the circle or radius r multiplied by the height the circle is pushed "up" to create the cylinder)
The volume of the cylinder on the left is: Pi * 4^2 * h = 16 Pi *h
The volume of the cylinder on the right is: Pi * 2^2 * h = 4 Pi *h
As 16/4 = 4, the cylinder on the left has 4 times the volume of the one on the right.
Thank you,
MrB
Use the commutative property-to record the terms
Answer:
a=4
Step-by-step explanation:
Add like terms. You get 7a-6=3a+10. Subtract 3a from 7a and get 4a. Add 6 to both sides and get 16. After this, divide by 4.
Answer:
4x³ - 30x² + 54x
Step-by-step explanation:
Length of the rectangular cardboard = 9 inches
Width of the rectangular cardboard = 6 inches
if the square of sides x inches is cut from each corner of the rectangular cardboard and folded to make a tray, then we have
Length of the tray = length of cardboard - 2(side of square )
= 9 - 2x
Width of the tray = width of cardboard - 2( side of square)
= 6 - 2x
height of tray = sides of square
= x
volume of tray = Length × width × height
= (9 - 2x) (6 - 2x) (x)
Open the parenthesis
= (54 - 18x - 12x + 4x²)(x)
= 54x - 18x² - 12x² + 4x³
= 54x - 30x² +4x³
Re-arrange
4x³ - 30x² + 54x
Volume, V of the tray in terms of x = 4x³ - 30x² + 54x
Answer: -1
Step-by-step explanation: So -3/5 - 2/5, is also -3/5 + -2/5 which when you add those together 2 + 3 is 5 so -3/5 + -2/5 = -5/5 which simplifies to -1
