Determine the volume of a right trapezoidal cylinder whose bases are B = 13 m and b = 9 m, height is h = 5 m, and length is l = 19 m
1045
650
To determine the volume of a right trapezoidal cylinder, we need to find the area of the trapezoidal base and then multiply it by the height.
Step 1: Find the area of the trapezoidal base.
The formula for the area of a trapezoid is A = (1/2) × (B + b) × h, where B is the length of the longer base, b is the length of the shorter base, and h is the height.
Given:
B = 13 m
b = 9 m
h = 5 m
A = (1/2) × (13 + 9) × 5
A = (1/2) × 22 × 5
A = 11 × 5
A = 55 m²
Step 2: Calculate the volume of the right trapezoidal cylinder.
The formula for the volume of any cylinder is V = A × l, where A is the base area and l is the length.
Given:
A = 55 m²
l = 19 m
V = 55 × 19
V = 1045 m³
Therefore, the volume of the right trapezoidal cylinder is 1045 m³.
To determine the volume of a right trapezoidal cylinder, you'll first need to find the area of the trapezoidal base and then multiply it by the height.
Step 1: Find the area of the trapezoidal base.
The formula for the area of a trapezoid is:
A = (1/2) * (B + b) * h
where A is the area, B is the length of the longer parallel side (base), b is the length of the shorter parallel side (base), and h is the height.
In this case, B = 13 m, b = 9 m, and h = 5 m.
Plugging these values into the formula, we get:
A = (1/2) * (13 + 9) * 5
A = (1/2) * 22 * 5
A = 11 * 5
A = 55 m²
Step 2: Multiply the area of the base by the height to find the volume.
The formula for the volume of a cylinder is:
V = A * l
where V is the volume, A is the area of the base, and l is the length.
In this case, A = 55 m² and l = 19 m.
Plugging these values into the formula, we get:
V = 55 * 19
V = 1045 m³
Therefore, the volume of the right trapezoidal cylinder is 1045 cubic meters.