###### Asked in Geometry

Geometry

# What formula would you use to find surface area of a right cylinder where h is height r is the radius la is the lateral area and BA is the base area?

## Answer

###### Wiki User

###### June 22, 2017 5:46PM

I would use 2*pi*r*(r + h) square units.

## Related Questions

###### Asked in Area

### A can of soup is in the shape of a cylinder with radius 3.8cm and height 11cm what is the surface area of the can to the nearest tenth?

First, you figure out what the area of the top of the cylinder
is, which in case is pi times radius squared. Then, you multiply
the answer by two. Next, you find the lateral surface area of the
cylinder by multiplying the circumference times the height. Since
the problem only gives us the radius of the cylinder, we use the
formula, two times pi times radius times the height, in order to
find the lateral surface area of the cylinder. Now the final step.
Add the answer you got for the first step, plus the lateral surface
area of the cylinder, and this should give you the surface area of
the can of soup.

###### Asked in Math and Arithmetic, Algebra, Geometry

### What is the lateral surface area of a right cylinder?

The lateral area of a right cylinder is curved surface that
connects the two bases. The surface area is the total area
of the curved surface and the bases.
Lateral Area: The lateral area of a right cylinder with
radius r and height h is L = 2pirh.
Surface Area: The surface area of a right cylinder with
lateral area L and base area B is S = L + 2B, or S = 2pirh +
2pir^2.

###### Asked in Math and Arithmetic, Algebra, Geometry

### Is the lateral surface area of cone is always one-third of cylinder's?

No, it never can equal one third of the lateral
surface area:
If the base of the cylinder and cone has radius r, and the
height of the cone and cylinder has height h, then:
Lateral surface area of a cone = πr√(r2+h2)
Lateral surface area of a cylinder = 2πrh
The lateral surface area of a cone equals one third the lateral
surface area of a cone when:
πr√(r2+h2) = 1/3 x 2πrh
⇒ √(r2+h2) = 2/3h
⇒ r2+h2 = 4/9h2
⇒ r2 = -5/9h2
But a square number can never be negative, so this is
impossible.
However, the volume of a cone is one
third the volume of the cylinder with the same radius
r and height h:
Volume cone = 1/3πr2h
Volume cylinder = πr2h

###### Asked in Geometry, Area

### What is the lateral area of cylinder?

Lateral Area= (2pi)x(radius)x(height)
Try imagining that you take the lateral area and unfold it from
the cylinder. If you imagine it correctly you get a rectangle. The
height of the cylinder is the height of the rectangle. Then the
circumference is the length. SO you multiply the circumference of
the base times the height.