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A cone has a radius of 5.1 inches and a height of 5 inches. What is the volume of the cone? Use 3.14 for pi. Round to the nearest tenth.

Ask by Chadwick Wyatt. in the United States
Feb 26,2025

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Answer

The volume of the cone is approximately 136.3 cubic inches.

Solution

The formula for the volume of a cone is V = (1/3) × π × r² × h. Step 1: Plug in the values.   r = 5.1 inches, h = 5 inches, and π = 3.14 Step 2: Compute r².   (5.1)² = 26.01 Step 3: Multiply by the height.   26.01 × 5 = 130.05 Step 4: Multiply by π.   130.05 × 3.14 = 408.777 Step 5: Multiply by 1/3.   408.777 ÷ 3 ≈ 136.259 Rounded to the nearest tenth, the volume is approximately 136.3 cubic inches.

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To find the volume of a cone, you can use the formula: \( V = \frac{1}{3} \pi r^2 h \). Here, \( r \) is the radius and \( h \) is the height. Plugging in the values, \( V = \frac{1}{3} \times 3.14 \times (5.1)^2 \times 5 \). Calculating this gives \( V = \frac{1}{3} \times 3.14 \times 26.01 \times 5 \). This equals approximately 26.07, so rounding to the nearest tenth, the volume of the cone is about **26.1 cubic inches**. If you ever find yourself calculating the volume of a cone for a science project or a cool DIY project, remember that the precision of your measurements can change the outcome significantly. Make sure to measure the radius and height accurately for the best result! And don't forget to have fun with it—after all, every great project starts with a little math magic!

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