asked 183k views
4 votes
The base radius of an ice cream cone is 3.5 cm and the slant height is 6.5 cm. What is the capacity of the ice cream cone and its surface area (to the nearest hundredth)?

2 Answers

3 votes

Answer:

Surface area: 109.9

Volume: 70.26

answered
User Tarum
by
7.6k points
4 votes
Height^2 = slant height^2 - r^2
Height^2 = 6.5^2 - 3.5^2
Height^2 = 42.25 -12.25
Height^2 = 30
Height = 5.477

Cone Volume = (π • r² • h) ÷ 3

Cone Volume = (3.1416 * 3.5^2 * 5.477) / 3

Cone Volume = 70.26


Lateral Area = (π • r • slant height)

Lateral Area = (3.1416 * 3.5 * 6.5)

Lateral Area = 71.47


answered
User Blinky
by
8.3k points

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