The overall volume is the sum of the volume of a cylinder of height 5'9" and diameter 3'6", and a sphere of diameter 3'6" (two hemispheres = full sphere).
Volume of the cylinder = (area of the base) x (height) = pi * (diameter/2)^2 * 5.75ft = 3.1415 * (3.5ft/2)^2 * 5.75 ft = 55.32 ft^3
Volume of the sphere = 4/3 * pi * (3.5ft)^3 / 8 = 22.45 ft^3
Total volume = (Volume of cylinder) + (Volume of sphere) = (55.32 + 22.45) ft^3 = 77.77 ft^3
Answer:
The scale factors that make figure smaller are the option D. -0.5 and the option E. 0.25
Step-by-step explanation:
we know that
If the absolute value of the scale factor is greater than 1, then the image will be larger than the pre-image.
If the absolute value of the scale factor is less than 1, then the image will be smaller than the pre-image.
If the absolute value of the scale factor is equal to 1, then the image will be the same size than the pre-image.
Additionally, a negative scale factor causes the dilation to rotate 180 degrees
therefore
In this problem
The scale factors that make figure smaller are the option D. -0.5 and the option E 0.25
I Tried but I don’t understand either I’ll try to find more information about
For this case, what you should do is calculate the surface area of the figure.
We have then:
Triangles:
A1 = (1/2) * (7) * (12)
A1 = 42 in ^ 2
Rectangles:
A2 = (1) * (12.5)
A2 = 12.5 in ^ 2
A3 = (1) * (7)
A3 = 7 in ^ 2
Finally, the total surface area is:
A = 2A1 + 2A2 + A3
Substituting values:
A = 2 (42) + 2 (12.5) + (7)
A = 84 + 25 + 7
A = 116 in ^ 2
Answer:
the amount of cardboard needed to make a box for a single slice of pizza is:
A = 116 in ^ 2
