find the surface area of a cylindrical open tank with height 1.5m and the radius of the base 70cm,taking pie3.142
bottom area = pi (.49)
side area = 2 pi r h = 2 *3.142*.7*1.5
add them
To find the surface area of a cylindrical open tank, you need to calculate the area of the curved surface (lateral surface area) and the area of the two circular bases separately, and then sum them up.
1. Calculate the lateral surface area:
The formula for the lateral surface area of a cylinder is given by the formula:
Lateral Surface Area = 2πrh,
where:
- π (Pi) is approximately 3.142,
- r is the radius of the base, which is 70 cm (or 0.70 m),
- h is the height of the cylinder, which is 1.5 m.
Substituting the values into the formula:
Lateral Surface Area = 2 * 3.142 * 0.70 * 1.5.
Calculate the result:
Lateral Surface Area = 6.615 m² (rounded to three decimal places).
2. Calculate the area of the circular bases:
The formula for the area of a circle is given by the formula:
Area = πr²,
where:
- π (Pi) is approximately 3.142,
- r is the radius of the base, which is 70 cm (or 0.70 m).
Substituting the radius into the formula:
Base Area = 3.142 * 0.70².
Calculate the result:
Base Area = 1.539 m² (rounded to three decimal places).
3. Calculate the total surface area:
Total Surface Area = Lateral Surface Area + 2 * Base Area.
Substituting the values into the formula:
Total Surface Area = 6.615 + 2 * 1.539.
Calculate the result:
Total Surface Area = 9.693 m² (rounded to three decimal places).
Therefore, the surface area of the cylindrical open tank is approximately 9.693 square meters.