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Vlad [161]
3 years ago
6

An oblique cylinder has a radius of 9 centimeters and a volume of 486 cubic centimeters. Use Cavalieri’s Principle to calculate

the height of the solid.
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
8 0
Cavalieri's Principle states that the volume of an oblique cylinder is equal to the product of the area of the base and the height. Mathematically, this can be expressed as,
                                    volume = Bh
                                      V = (πD²/4)h
where D is diameter and h is the height. Substituting the known values from the given above,
                                      486 cm³ =((π)(9 cm)²/4) x h
The value of h from the generated equation is equal to 7.64 cm. Thus, the height of the oblique cylinder is approximately 7.64 cm. 
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Answer:

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Step-by-step explanation:

Step 1 :

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Equation at the end of step 1 :

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Step 4 :

Step 5 :

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The left denominator is : 20

The right denominator is : 10

Number of times each prime factor

appears in the factorization of:

Prime

Factor Left

Denominator Right

Denominator L.C.M = Max

{Left,Right}

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Product of all

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Denote the Least Common Multiple by L.C.M

Denote the Left Multiplier by Left_M

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Denote the Left Deniminator by L_Deno

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Two fractions are called equivalent if they have the same numeric value.

For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.

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Step 7 :

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Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

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The equation now takes the shape :

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7.3 Solve : m+20 = 0

Subtract 20 from both sides of the equation :

m = -20

One solution was found :

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