Calculate the volume of 50 biscuits and determine if a 700 cm³ container would hold them. Show your working.

Hey thembekamvelase78, good to see you again. Here are the calculations for the volume of the biscuits: 1. Calculate the volume of 1 biscuit, to one whole number. Step 1: Determine the radius of the biscuit. The biscuit is shaped like a cylinder with a diameter of 80 mm. The radius r is half of the diameter. r = diameter2 = 80 mm2 = 40 mm Step 2: Calculate the volume of one cylindrical biscuit. The formula for the volume of a cylinder is V = r^2 h. Given r = 40 mm and height h = 7 mm. V_1 = (40 mm)^2 (7 mm) V_1 = (1600 mm^2) (7 mm) V_1 = 11200 mm^3 Using ≈ 3.14159: V_1 ≈ 11200 × 3.14159 mm^3 V_1 ≈ 35185.84 mm^3 Step 3: Round the volume to one whole number. V_1 ≈ 35186 mm^3 The volume of 1 biscuit is 35186 mm^3. 2. Calculate the volume of 50 biscuits. Step 1: Multiply the volume of one biscuit by 50. V_50 = 50 × V_1 V_50 = 50 × 35186 mm^3 V_50 = 1759300 mm^3 The volume of 50 biscuits is 1759300 mm^3. 3. Would a container with a volume of 700 cm³ hold the biscuits? Explain. Step 1: Convert the total volume of 50 biscuits from mm³ to cm³. We know that 1 cm = 10 mm, so 1 cm^3 = (10 mm)^3 = 1000 mm^3. V_50 = 1759300 mm^31000 mm^3/cm^3 V_50 = 1759.3 cm^3 Step 2: Compare the total volume of biscuits with the container's volume. The total volume of 50 biscuits is 1759.3 cm^3. The container's volume is 700 cm^3. Since 1759.3 cm^3 > 700 cm^3, the container would not be able to hold all 50 biscuits. The container would not hold the biscuits. This is because the total volume of 50 biscuits (1759.3 cm^3) is greater than the container's volume (700 cm^3). Send me the next one 📸