Question

Find the surface area and the volume of the composite figure

Answer 1

> S = 340.26 cm²

> V = 416.52 cm³

Explanation:

We need to find the surface area and the volume of the composite figure . The given figure is made up of a cuboid and a hemisphere . Let's Calculate them ,

Finding the Surface area :-

> S = 2(6*10 + 6*6 + 6*10) + 3.14*(6/2)

> S = 340.26 cm²

Volume of the figure:

> V = lbh + 1/2(4/3πr³)

> V = 6*10*6 + 2/3*3.14*(6/2)³

> V = 416.52 cm³

Answer 2

• See below

Explanation:

Surface area of the figure:

• S = 2(lw + lh + wh) + 1/2(4πr²) - πr² = 2(lw + lh + wh) + πr²
• S = 2(6*10 + 6*6 + 6*10) + 3.14*(6/2)² = 340.26 cm²

Volume of the figure:

• V = lwh + 1/2(4/3πr³) = lwh + 2/3πr³
• V = 6*10*6 + 2/3*3.14*(6/2)³ = 416.52 cm³