This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — Step 1: Identify the given values and formula. The solid shape is a cylinder. Given formula for volume (V) = ( d^2 h)/(4) Given diameter (d) = 56 cm Given height (h) = 1.2 m Use = 3.14. Step 2: Ensure consistent units. The diameter is in centimeters and the height is in meters. Convert the diameter to meters to match the height. d = 56 cm = 0.56 m Step 3: Substitute the values into the formula. V = 3.14 × (0.56 m)^2 × 1.2 m4 Step 4: Calculate the square of the diameter. (0.56 m)^2 = 0.3136 m^2 Step 5: Perform the multiplication in the numerator. V = 3.14 × 0.3136 m^2 × 1.2 m4 V = 1.181952 m^34 Step 6: Divide to find the volume. V = 0.295488 m^3 Rounding to a reasonable number of decimal places (e.g., four decimal places): 0.2955 m^3 What's next?