20.4k 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)?

User ValentinV
by
8.5k points

2 Answers

3 votes

Answer:

The answer is 71.44

and 214.32 have a nice day

Explanation:

User Chinthana
by
8.1k points
5 votes
the formula of cone's capacity is V = (1 / 3) (pi x r x h)
we know that r = 3.5, we must find h, the slant height is H=6.5, applying pythagorean theorem h ^2 = H^2, so h= sqrt (H^2 - r^2)
h = sqrt (6.5^2 - 3.5^2) = 5.47
finally, V = (1 / 3) (3.14 x 3.5 x 5.47) = 20.03 cm^3
the surface are is A = pi x r x H = 71.43 cm^2
User TMtech
by
7.6k points