The volume of a right circular cone varies jointly as the altitude and the square of the radius of the base. if the volume of the cone is 154 cu. in. when its altitude is 12 in. and the radius of the base is 3 1/2 in., find the altitude when the volume of the cone is 77 cu. in. and the radius of the base is 2 1/3 in. altitude = ? inches

13.5 inches

Step-by-step explanation:

Here, the volume of a right circular cone varies jointly as the altitude and the square of the radius of the base

So our equation for volume becomes

V = c*h*r^2

where 'h' is altitude and 'r' is radius of base and 'c' is constant

Putting the value of V,h,r,

we get,

154 = c*12*3.5*3.5

c = 22/21

Now we have volume = 77 cu and radius of the base =7/3, so putting the values we get,

77 = 22/21*h*7/3*7/3

or, h= 13.5

Hope it helps!!!

13.5 inches.

Step-by-step explanation:

Given : The volume of a right circular cone varies jointly as the altitude and the square of the radius of the base.

V α r² h , where r= radius and h = height.

i.e. V = k r² h    (1), where c is the constant of proportionality.

When the volume of the cone is 154 cu. in. when its altitude is 12 in. and the radius of the base is .

Put  ,   and h = 12

in (1) , we get

When the volume of the cone is 77 cu. in. and the radius of the base is

Put V = 77 , and in (1) , we get

Hence, the altitude = 13.5 inches.

answer:

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explanation:

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payment just for service  

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tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

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related questions

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.