# The cylinder 2

Find the volume and the lateral area of a cylinder of height 12 inches and a base radius of 4 inches.

Result

V =  603.186 inch3
S2 =  301.593 inch2

#### Solution:

$h = 12 \ inch \ \\ r = 4 \ inch \ \\ \ \\ S_{ 1 } = \pi \cdot \ r^2 = 3.1416 \cdot \ 4^2 \doteq 50.2655 \ inch^2 \ \\ \ \\ V = S_{ 1 } \cdot \ h = 50.2655 \cdot \ 12 \doteq 603.1858 = 603.186 \ inch^3$
$S_{ 2 } = 2 \pi \cdot \ r \cdot \ h = 2 \cdot \ 3.1416 \cdot \ 4 \cdot \ 12 \doteq 301.5929 = 301.593 \ inch^2$

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...): Be the first to comment! #### Following knowledge from mathematics are needed to solve this word math problem:

Tip: Our volume units converter will help you with the conversion of volume units.

## Next similar math problems:

1. Cylinders Area of the side of two cylinders is same rectangle of 33 mm × 18 mm. Which cylinder has a larger volume and by how much?
2. Surface of the cylinder Calculate the surface of the cylinder for which the shell area is Spl = 20 cm2 and the height v = 3.5 cm
3. Tereza The cube has area of base 256 mm2. Calculate the edge length, volume and area of its surface.
4. Tetrahedral pyramid What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=16 and height v=16?
5. Right Δ A right triangle has the length of one leg 7 cm and length of the hypotenuse 25 cm. Calculate the height of the triangle.
6. Calculate Calculate the square area if its perimeter is 14dm.
7. Trapezoid MO The rectangular trapezoid ABCD with right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of ​​the trapezoid.
8. Garden Area of a square garden is 6/4 of triangle garden with sides 56 m, 35 m, and 35 m. How many meters of fencing need to fence a square garden?
9. Triangle SAS Calculate the area and perimeter of the triangle, if the two sides are 51 cm and 110 cm long and angle them clamped is 130 °.
10. Square Points A[-9,7] and B[-4,-5] are adjacent vertices of the square ABCD. Calculate the area of the square ABCD.
11. Rhombus Calculate the perimeter and area of ​​a rhombus whose diagonals are 38 cm and 55 cm long.
12. Scale Swimming pool is long 110 m and 30 m wide. The plan of the city is shown as a rectangle with area 8.25 cm2. What scale is the city plan?
13. Regular 5-gon Calculate area of the regular pentagon with side 7 cm.
14. Right triangle Alef The obvod of a right triangle is 84 cm, the hypotenuse is 37 cm long. Determine the lengths of the legs.
15. Rectangle In rectangle with sides, 6 and 3 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than to any side of the rectangle?
16. Area of RT Calculate the area of a right triangle that hypotenuse has length 14, and one hypotenuse segment has length 5.
17. Circles The areas of the two circles are in the ratio 2:20. The larger circle has diameter 20. Calculate the radius of the smaller circle.