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Find the volume of the solid . Round your answer to two decimal places .

Find the volume of the solid . Round your answer to two decimal places .-example-1
User VSDekar
by
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1 Answer

6 votes
  • Answer:

3751.25 cm³

  • Explanation:

Hi there !

Volume (sphere) formula

V(s) = (4/3) × π × r³

we have two hemisheres

V(h) = (4/3) × π × r³ /2

= (2/3) × π × r³

V₁ = 2/3 ₓ π ₓ (12cm)³

= 2/3 ₓ π ₓ 1728cm³

= 1152π cm³

V₂ = 2/3 ₓ π ₓ (4cm)³

= 2/3 ₓ π ₓ 64cm³

= 128π/3 cm³

V = V₁ + V₂

= 1152π cm³ + 128π/3 cm³

= 3617.28 cm³ + 133.97 cm³

= 3751.25 cm³

Good luck !

User RoiHatam
by
6.2k points