Respuesta :
Answer:
C
Step-by-step explanation:
Formula for the volume of a cone :
Volume (cone) = 1/3πr²h
===========================================================
Given :
⇒ r = 4 units
⇒ h = 21 units
============================================================
Solving :
⇒ Volume (cone) = 1/3 × π × (4)² × 21
⇒ Volume (cone) = 16 × 7 × π
⇒ Volume (cone) = 112π units²
Answer:
[tex]\sf C. \quad 112 \pi \:units^2[/tex]
Step-by-step explanation:
[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
- radius = 4 units
- height = 21 units
Substituting the given values into the formula:
[tex]\implies \sf Volume=\dfrac{1}{3} \cdot \pi \cdot 4^2 \cdot 21[/tex]
[tex]\implies \sf Volume=112 \pi \:units^2[/tex]