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velikii [3]
2 years ago
15

Please help me with this work​

Mathematics
1 answer:
Dahasolnce [82]2 years ago
6 0

Answer:

  1. about 243.9 cm³
  2. 35828 4/7 cm² = 3 102/175 m²

Step-by-step explanation:

<h3>1.</h3>

The 8-cm diameter sphere has a radius of 4 cm. The volume of it is given by ...

  V = 4/3πr³ = 4/3π(4 cm)³ = 256/3π cm³

The 8-cm cube has a volume of ...

  V = s³

  V = (8 cm)³ = 512 cm³

The volume of the empty space is the difference of these volumes:

  space = 512 cm³ -256/3π cm³ = 256(6 -π)/3 cm³

  space ≈ 243.9 cm³

__

<h3>2.</h3>

The area of a hemisphere is twice the area of a circle with the same radius. Then the area of the top and bottom of the birdbath will be 2+1 = 3 times the area of a circle with radius 30 cm.

  top+bottom area = 3 × πr² = 3 × 22/7(30 cm)² = 8485 5/7 cm²

The lateral area of the cylinder is ...

  LA = 2πrh

  = 2(22/7)(30 cm)(145 cm) = 27342 6/7 cm²

Then the total surface area of the birdbath is ...

  total area = top+bottom area + lateral area

  total area = 8485 5/7 cm² +27342 6/7 cm² = 35828 4/7 cm²

  = 3 102/175 m²

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