Calculare the volume and total surface seera of a right circular cylinder ofheight 1m and radiis 70cm
Akka
To calculate the volume of a cylinder, we use the formula:
V = πr^2h
Where V is the volume, r is the radius, and h is the height.
Substituting the given values, we get:
V = π(70 cm)^2(1 m)
V = 1,539,380 cm^3
To convert this to cubic meters, we divide by 1,000,000:
V = 1.53938 m^3
So, the volume of the cylinder is 1.53938 cubic meters.
To calculate the total surface area of the cylinder, we need to find the area of the two circular bases and the lateral surface area.
The area of a circle is given by:
A = πr^2
Substituting the given radius, we get:
A = π(70 cm)^2
A = 15,400 cm^2
To convert this to square meters, we divide by 10,000:
A = 1.54 m^2
So, the area of each circular base is 1.54 square meters.
The lateral surface area of a cylinder is given by:
A = 2πrh
Substituting the given values, we get:
A = 2π(70 cm)(1 m)
A = 440 cm^2
To convert this to square meters, we divide by 10,000:
A = 0.044 m^2
So, the lateral surface area of the cylinder is 0.044 square meters.
The total surface area of the cylinder is the sum of the two circular bases and the lateral surface area:
A = 2(1.54 m^2) + 0.044 m^2
A = 3.124 m^2
So, the total surface area of the cylinder is 3.124 square meters.
To calculate the volume and total surface area of a right circular cylinder with a height of 1m and a radius of 70cm, follow these steps:
Step 1: Convert the radius from centimeters to meters.
The radius in centimeters is 70cm, which is equal to 0.7m.
Step 2: Calculate the volume.
The volume of a cylinder is given by the formula V = π * r^2 * h, where π is a mathematical constant approximately equal to 3.14159, r is the radius, and h is the height.
Plugging in the values, V = 3.14159 * (0.7m)^2 * 1m.
Calculating the equation:
V = 3.14159 * (0.7^2) * 1 = 3.14159 * 0.49 * 1 = 1.52 cubic meters.
Therefore, the volume of the right circular cylinder is 1.52 cubic meters.
Step 3: Calculate the total surface area.
The total surface area of a cylinder is given by the formula A = 2πr(r + h), where π is a mathematical constant approximately equal to 3.14159, r is the radius, and h is the height.
Plugging in the values, A = 2 * 3.14159 * 0.7m * (0.7m + 1m).
Calculating the equation:
A = 2 * 3.14159 * 0.7 * (0.7 + 1) = 2 * 3.14159 * 0.7 * 1.7 = 6.001 square meters.
Therefore, the total surface area of the right circular cylinder is 6.001 square meters.