find the surface of the cylinder, use 3.14 for pie [cylinder 8ft top,6ft down?

Question

6 in,4 inch,4 in find the volume of the rectangular prism?
find the volume of a rectangular prism with length of 10ft, width 9.3 ft, height 7 ft?

Answer 1

find the formula in your book, and plug in the numbers

here's a start

cylinder surface formula:

cylinder has two circles (one on top, one on bottom, and sides)

circles each have area pi*r^2

side has area pi*d*h

so formula is: 2*pi*r^2+pi*d*h

if cylinder is 8 feet across and 6 feet tall, r=4 feet, d=8 feet, h=6 feet

go for it

Answer 2

Assuming you mean that the top has a diameter of 8 ft and that the sides are 6 ft. Also, assuming a top and a bottom to your cylinder.

SA = 2*(Pi * r^2) + 2*Pi * r * h

= 2(3.14 * 4^2) + 2*3.14 * 4 * 6

= 32 * 3.14 + 48 * 3.14 = 80 * 3.14 = 251.2

I'll just tell you that the volume of a recangular prism is just the length times the width times the height. In other words, just multiply 6 * 4 * 4 and 10 * 9.3 * 7 in the individual problems.

Answer 3

First of all, for the volume of any rectangular prism, you only need to multiply the length, width, and height all together.
6 in * 4 in * 4 in = 96 in^3
10 ft * 9.3 ft * 7 ft = 651 ft^3

As for the cylinder, the easiest way to find the surface area is to break it into sections. You have two circular surfaces (the top and bottom). Now, imagine cutting the cylinder apart and unrolling it. The side piece is going to be a rectangle. So, you have three pieces total.

For the top and bottom: find the area of the circle. A = pi * r^2.
I'm going to assume that "8ft top" means the diameter is 8 ft. So, the radius = 4 ft. The area of one circle = pi * 4^2 = 50.24 ft^2.

For the rectangle, we need to do two things. We have one of the sides of the rectangle, which is the "6ft down." To find the other side, we need to know the circumfrence of the circles. C = pi * d.
So, the circumfrence = pi * 8 ft = 25.12 ft. To find the area of the rectangle, we just multiply the circumfrence of the circle by the height of the cylinder: 25.12 * 6 = 150.72 ft^2.

Now, we just add up each face: 150.72 + 50.24 + 50.24 = 251.2 ft^2.

Ta da!

Answer 4

Cylinder Total Surface Area
T = 2 Pi r(r + h)

T = 2(3.14)(8/2)((8/2) + 6)
T = 2(3.14)(4(4 + 6))
T = 2(3.14)(4(10))
T = 2(3.14)(40)
T = 80(3.14)
T = 251.2ft^2

But if you want Lateral Surface Area instead

S = 2 Pi rh
S = 2(3.14)(8/2) * 6
S = 2(3.14)(4 * 6)
S = 2(3.14)(24)
S = 48(3.14)
S = 150.72ft^2

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Rectangular Prism Volume
V = 6 * 4 * 4
V = 24 * 4
V = 96in.^3

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V = 10 * 9.3 * 7
V = 93 * 7
V = 651ft^3