Question

a cylindrical cake is shown below.

each \\(\text{cm}^3\\) of the cake has a mass of \\(0.4\text{ g}\\).

work out the mass of the cake, to 1 d.p.

Explanation:

⚡ Using what you learned: volume of prisms, pyramids, cylinders, cones, spheres · Density, Mass, and Volume

Step 1: Calculate the volume of the cylinder

$$ V = \pi r^2 h $$

$$ V = \pi \times 5.5^2 \times 11 $$

$$ V = \pi \times 30.25 \times 11 = 332.75\pi \approx 1045.365 \text{ cm}^3 $$

Step 2: Calculate the mass of the cake

$$ \text{Mass} = \text{Volume} \times \text{Density} $$

$$ \text{Mass} = 332.75\pi \times 0.4 \approx 418.146 \text{ g} $$

Step 3: Round to 1 decimal place

$$ \text{Mass} \approx 418.1 \text{ g} $$

Answer:

418.1 g