A model of a volcano has a height of 12 in., and a diameter of 12 in. What is the approximate volume of the model?

Use 3.14 to approximate pi, and express your final answer as a decimal.

Enter your answer as a decimal in the box.

452.16 cm³

Step-by-step explanation:

I assume the shape of the volcano is a cone.

V = (1/3)πr²h

r = d/2 = 12 in./2 = 6 in.

V = (1/3)(3.14)(6 in.)²(12 in.)

V = 452.16 in.²

Step-by-step explanation:

Radius r = 6 inches

Height h = 12 inches

volume of cone = πr²h/3 ≈ 3.14∙6²∙12 = 1,356.48 in³

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for