Find the height of the cylinder whose volume if 1.54 m³  and diameter of the base is 140 cm. 

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Discover the height of a cylinder! Just figure out the answer when the volume is 1.54 m³ and the base diameter is 140 cm.

Find the height of the cylinder whose volume if 1.54 m³ and diameter of the base is 140 cm.

The height of the cylinder is approximately 1.0004 meters.

Explanation

Given:

• Diameter of the cylinder base: 140 cm
• Volume of the cylinder: 1.54 m³

Steps:

1. Convert diameter to radius:

   • Divide the diameter by 2 to find the radius: radius = diameter / 2 = 140 cm / 2 = 70 cm
   • Convert the radius from centimeters to meters for consistency with the volume unit: radius = 70 cm / 100 = 0.7 m

2. Use the formula for cylinder volume:

   • The formula for cylinder volume is πr²h, where π (pi) is a mathematical constant approximately equal to 3.14159, r is the radius, and h is the height.
   • Substitute the known values: 1.54 m³ = π * (0.7 m)² * h

3. Solve for the height:

   • Isolate h by dividing both sides by π * (0.7 m)²: h = 1.54 m³ / (π * (0.7 m)²)
   • Calculate the height using a calculator or software capable of handling pi: h ≈ 1.0004024994 m

Answer:

The height of the cylinder is approximately 1.0004 meters.

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Volume of a Cylinder

The volume of a cylinder is the amount of space it occupies. It can be calculated by multiplying the area of the base by the height of the cylinder.

Here’s the formula for the volume of a cylinder:

V = πr²h

where:

• V is the volume of the cylinder
• π is a mathematical constant, approximately equal to 3.14159
• r is the radius of the base of the cylinder
• h is the height of the cylinder

For example, if a cylinder has a radius of 5 cm and a height of 10 cm, its volume would be:

V = π(5 cm)²(10 cm) ≈ 785.39 cm³

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Source: Math Hello Kitty
Categories: Math