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.
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Step 1: Identify the given radius. The radius of the circle is given as r = 3.5 cm. Step 2: Write the formula for the circumference of a circle. The circumference C of a circle is given by the formula: C = 2 r We will use the approximation = (22)/(7). Step 3: Substitute the values and calculate the circumference. C = 2 × (22)/(7) × 3.5 cm C = 2 × (22)/(7) × (7)/(2) cm C = 22 cm The circumference of the circle is 22 cm. --- Question 17: Step 1: Identify the dimensions of the cuboid. The length l = 15 cm, width w = 10 cm, and height h = 5 cm. Step 2: Write the formula for the volume of a cuboid. The volume V of a cuboid is given by the formula: V = l × w × h Step 3: Substitute the values and calculate the volume in cubic centimeters. V = 15 cm × 10 cm × 5 cm V = 150 cm^2 × 5 cm V = 750 cm^3 Step 4: Convert the volume to milliliters. Since 1 cm^3 = 1 mL, the capacity in milliliters is: V = 750 mL The capacity of the cuboid is 750 mL. That's 2 down. 3 left today — send the next one.