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43 votes
what is the volume of a cylinder, in cubic feet, with a height of 5 feet and a base diameter of 10 feet? Round to the nearest tenths place

User Monique De Haas
by
3.3k points

2 Answers

27 votes
27 votes

Answer:

The volume of the cylinder would be approximately 392.5 ft^3

Explanation:

Just like the volume formulas for a cuboid, the formula for a cylinder is: Vol = (Circle Area)(Height). Since we already have the height value, let's move onto the circle area.

The formula for the area of a circle is: πr^2. The problem only gave us the value for the diameter (10), so to get the radius value, we just need to divide the diameter by 2, and we get a value of 5 ft as our radius. Next, we just need to square root it. So 5 x 5 = 25. Then, we multiply it by π. Because the problem is asking for an approximate answer, we can just assume that π is 3.14. And that gets us a value of 78.5 ft^2 for the area of the circle.

Finally, we just need to multiply the area and the height of the cylinder. So 78.5 x 5 is approx. 392.5 ft^3. Since we don't need to round to the nearest tenths place, we can just leave it alone.

Since I didn't use the exact value of π, the real answer may be a little off of what we got, but if you want to extra precise, you can go ahead and use the actual value of π.

User Muhamed Shafeeq
by
3.1k points
13 votes
13 votes

Answer:

Volume of cylinder

= π r² h

  • 3.14 × 5×5×5
  • 392.5
  • = 392.9 ft³

OAmalOHopeO

User Gennadii Saprykin
by
2.5k points
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