Use 3.14 for pie
A cone has a volume of 33 cubic inches. If a cylinder has the same height and the same radius as the cone, what is the volume of the
cylinder?

99 in³

Step-by-step explanation:

cone: 1/3 πr²h

Cylinder: πr²h

cone : 33    Cylinder = 3 x 33 = 99

V = 98.955cubic inches

Step-by-step explanation:

Volume of a cone

V = πr^2h/3

V = volume

π = pie

r = radius

h = height

Given

V = 33

π - 3.14

Since r = h

Let r = h = y

Substitute y for r and h

V = πr^2h/3

33 = 3.14 * y^2 * y/3

33 = 3.14/3 * y^2 * y

33 = 1.047y^3

y^3 = 33/1.047

y^3 = 31.5186

y = 3.1587

y ≈ 3.16

Since y = 3.16

Then r = h = 3.16

Volume of a cylinder

V = πr^2h

V = 3.14 * 3.1587^2 * 3.1587

= 3.14 * 9.977 * 3.1587

= 98.955 cubic inches

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours