Answer:
see explanation
Step-by-step explanation:
The volume (V) of a cone is calculated as
• V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the perpendicular height )
(7)
here r = 4 and h = 15 , then
V = [tex]\frac{1}{3}[/tex] π × 4² × 15
= [tex]\frac{1}{3}[/tex] π × 16 × 15
= [tex]\frac{1}{3}[/tex] π × 240 ( cancel 3 and 240 by 3 )
= 80π
≈ 251.33 units³ ( to the nearest hundredth )
(8)
here r = 8 and h = 20 , then
V = [tex]\frac{1}{3}[/tex] π × 8² × 20
= [tex]\frac{1}{3}[/tex] π × 64 × 20
= [tex]\frac{1}{3}[/tex] π × 1280
= [tex]\frac{1280\pi }{3}[/tex]
≈ 1340.41 units³ ( to the nearest hundredth )
