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Leto [7]
3 years ago
14

Find the surface area and the volume of the figure Round to the nearest tenth if needed.

Mathematics
2 answers:
musickatia [10]3 years ago
6 0

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 .
elixir [45]3 years ago
4 0

Answer:

  • See below

Step-by-step explanation:

<u>Surface area:</u>

  • S = 2(lw + lh + wh) + 2πrh
  • S = 2(9*4 + 9*5 + 4*5) + 2*3.14*2*3 = 239.7 cm² (rounded)

<u>Volume:</u>

  • V = lwh + πr²h
  • V = 9*4*5 + 3.14*2²*3 = 217.7 cm³ (rounded)
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