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noname [10]
3 years ago
13

A cone has a volume of 301.44 cubic yards and a radius of 6 yards. What is its height?

Mathematics
1 answer:
alexira [117]3 years ago
3 0

Answer:

h≅ 8 yards

Step-by-step explanation:

Given data

Volume of cone= 301.44 cubic yards

Radius of cone= 6 yards

Required

The Height of the cone

The expression for the volume of a cone is given as

V= 1/3πr^2h

Substitute

301.44= 1/3* 3.142*6^2*h

301.44= 37.704*h

Divide both sides by 37.704

h= 301.44/37.704

h= 7.99

h≅ 8 yards

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Step-by-step explanation:

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Answer:

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b) Slope - intercept form

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c) The intercept - form

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Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given the equation of the straight line

                             y = -6x +1

                  6 x + y - 1 = 0

The equation of the Parallel line to the given straight line is

                6x + y + k=0 and it passes through the point (-3, 5 )

           ⇒ 6 (-3 ) + 5 + k =0

          ⇒  - 18 + 5 + k=0

         ⇒   -13 + k = 0

        ⇒     k = 13

The equation of the Parallel line to the given straight line is

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<u><em>Step(ii):-</em></u>

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                y = m x + C

                y = - 6 x - 13

<u><em>Step(iii)</em></u>:-

Intercept - form

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              6 x + y = - 13

              \frac{6x + y}{-13} = \frac{-13}{-13}

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The intercept - form

            \frac{x}{\frac{-13}{6} } + \frac{y}{-13} = 1

x - intercept  =  \frac{-13}{6}

y - intercept = - 13

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2 years ago
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