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
The first question is too blurry to read completely. Please send a clearer image if you'd like me to solve it. For question 11, we need to calculate the volume of the frustum. Step 1: Identify the given dimensions and calculate the radii. The height of the frustum is h = 10 cm. The top diameter is 6 cm, so the top radius is r_1 = (6)/(2) = 3 cm. The bottom diameter is 18 cm, so the bottom radius is r_2 = (18)/(2) = 9 cm. We are given = 3.142. Step 2: Write down the formula for the volume of a frustum. The volume V of a frustum is given by the formula: V = (1)/(3) h (r_1^2 + r_1 r_2 + r_2^2) Step 3: Substitute the values into the formula. V = (1)/(3) × 3.142 × 10 × (3^2 + (3)(9) + 9^2) Step 4: Calculate the terms inside the parenthesis. V = (1)/(3) × 3.142 × 10 × (9 + 27 + 81) V = (1)/(3) × 3.142 × 10 × (117) Step 5: Perform the multiplication to find the volume. V = 3.142 × 10 × (117)/(3) V = 3.142 × 10 × 39 V = 31.42 × 39 V = 1225.38 cm^3 The volume of the frustum is 1225.38 cm^3. Send me the next one 📸