Question

An ice cream cone has a diameter of 4.2 cm and a height of 11.5 cm. What is the volume of the cone? A. 18.6 cm³ B. 53.1 cm³ C. 212.3 cm³ D. 25.3 cm³

Answer 1

B. 53.1 cm³

Step-by-step explanation:

`\sf volume \ of \ cone: (1)/(3) \pi r^2h \ \ \ \ (r \ is \ radius, \ h \ is \ height)`

Here Given:

height: 11.5 cm

diameter: 4.2 cm

radius: d/2 = 4.2/2 = 2.1

Volume:

`\sf \cdot \ (1)/(3) \pi r^2h`

`\sf \cdot \ (1)/(3) (3.14) (2.1)^2(11.5)`

`\sf \cdot \ 53.11 \ cm^3` ≈
`\sf 53.1 \ (rounded \ to \ nearest \ tenth)`