Find the volumes of the figures below. i just need answers.

Hello!

The volume of a cone is found by using the formula: V = 1/3πr²h.

Figure 1 --

From figure one, it shows us the radius, which has a length of 8 centimeters, and the height, which is 14 centimeters. With that values, we can substitute those values into the formula and solve.

V = 1/3π(8)²(14)

V = 1/3(64)(14)π

V = 64/3(14)π

V = 896/3π centimeters³, 938.29 centimeters³ (multiplied by π), and 937.81 centimeters³ (multiplied by 3.14).

Therefore, the volume of the first cone is 938.29 centimeters³.

Figure 2 --

From the second figure, the height of the cone is 19.6 and the diameter is 12. To find the radius, divide the radius by 2, which is will give the radius.

V = 1/3π(6)²(19.6)

V = 1/3(36)(19.6)π

V = 12(19.6)π

V = 235.2π, 738.53 (multiplied by 3.14), 738.90 (multiplied by π)

Therefore, the volume of the second cone is 738.90 units³.

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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

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