1. the formula for the volume of a cone is
v =
2h.
where r is the radius of the base and h is the height of the cone.
part a: solve the formula for r.

Step-by-step explanation:

The volume of cone is given by:

where is the radius of the base and is the height of the cone.

We need to solve for

we have

Multiplying both sides by 3 to remove

⇒

⇒

dividing both sides by

⇒

⇒

Taking square root both sides:

⇒

⇒

∴

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

a

step-by-step explanation: