Answer:
> V = 217.68 cm³
> S = 227.14 cm²
Step-by-step explanation:
We are required to find the surface area and the volume of the given figure . This question is from Combination of solids . As we can see that this figure is made up of a cuboid and cylinder.
<u>Firstly let's find out the volume .</u>
> V = V_( cuboid) + V_(cylinder)
> V = 9cm × 4cm × 5cm + π × ( 2cm)²× 3cm
> V = 180 cm³ + 3.14 × 4cm² × 3cm
> V = 180 cm³ + 37.68 cm³
> V = 217.68 cm³
<u>Lets </u><u>find</u><u> the</u><u> </u><u>surface</u><u> area</u><u> </u><u>:</u><u>-</u><u> </u>
> S = S_( cuboid) + S_( cylinder) - πr²
> S = 2( 9×4 + 4× 5 + 5×9) cm² + 2×π×2cm × 3cm - 3.14 × (2cm)²
> S = 239.7 cm² - 12.56 cm²
> S = 227.14 cm²
<u>Note </u><u>:</u><u>-</u><u> </u>
- Here we subtracted πr² from the total surface area of cuboid and cylinder because that much area of the cuboid was covered by the base of the cylinder .
