18.4k views
3 votes
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
8.6k points

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
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories