7.7k views
1 vote
A piece of wood is designed in the shape of a cone

a cylindrical hole of a radius 4 cm and depth 3 cm has been drilled into a base
show that the volume of wood used to produce the shape is 120 pie cm cubed

1 Answer

3 votes

Answer:

Answer is in the step by step explanation

Explanation:

vol of cone=⅓πr²h

r=6 h=14

=⅓xπ×6²×14

=π×12×14

=168πcm³

Volume of cylinder=π×r²×h

r=4 h=3

=π×4²×3

=π×16×3

=48πcm³

Vol of woodVol of cone-Vol of cylinder =168π-48π=120π

User Kirk Powell
by
5.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.