A coin has a radius of 1.121.12 cm and a thickness of 1.71.7 mm. Find its volume in m3
Question
A coin has a radius of 1.12 cm and a thickness of 1.7 mm. Find its volume in m³.
Solution
To find the volume of the coin, we can use the formula for the volume of a cylinder, which is V = πr²h, where r is the radius and h is the height (or thickness in this case).
Step 1: Convert the radius from cm to m, because the final volume needs to be in m³. 1 cm = 0.01 m, so 1.12 cm = 1.12 * 0.01 = 0.0112 m.
Step 2: Convert the thickness from mm to m. 1 mm = 0.001 m, so 1.7 mm = 1.7 * 0.001 = 0.0017 m.
Step 3: Substitute the radius and height into the volume formula. V = π * (0.0112 m)² * 0.0017 m.
Step 4: Calculate the volume. V = π * 0.00012544 m² * 0.0017 m = 0.000000672 m³.
So, the volume of the coin is 0.000000672 m³.
Similar Questions
The number of coins of radius 0.75 cm and thickness 0.2 cm to be melted to make right circular cylinder of height 8 cm and base radius 3 cm is
What is the volume of a cylinder of radius 7 cm and height 12 cm? Ops: A. 1815 cm3 B. 1848 cm3 C. 1903 cm3 D. 1876 cm3
What is the volume of a cylinder with a height of 18.5 m and a base with a diameter of 5.2 m, to the nearest tenth of a cubic meter?
What is the volume of a cylinder, in cubic cm, with a height of 7cm and a base diameter of 10cm? Round to the nearest tenths place
What is the volume, in cubic cm, of a rectangular prism with a height of 8cm, a width of 2cm, and a length of 7cm?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.