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rjkz [21]
2 years ago
7

What is the volume of the composite figure? Round your answer to the nearest hundredth. Use 3.14 for π.

Mathematics
1 answer:
Reil [10]2 years ago
7 0

Answer:

<em><u>263.76</u></em><em><u> </u></em><em><u>in</u></em><em><u>^</u></em><em><u>3</u></em>

VOLUME OF FIGURE=VOL.OF CONE+VOL.OF CYLINDER +VOL.OF HEMISPHERE

=(1/3×3.14×3×3×4)+(3.14×3×3×6)+(2/3×3.14×3×3×3)

=37.68+169.56+56.52

=263.76in^3

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Find the sum of the first 8 terms in the geometric sequence: 1, 3, 9, 27,
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The sum of the first 8 items in the geometric sequence:1, 3, 9, 27, ...etc is 3280.

Step-by-step explanation:

The given is,

            sequence: 1,3,9,21,.. etc

Step:1

           The given is based on multiplication of 3 to previous number,

           ( x - previous number, next number = 3 × x )

            First term : 1

            Second term : 1 × 3 = 3

           Third term : 3 × 3 = 9

            Fourth term : 9 × 3 =27

            Fifth term : 27 × 3 = 81

            Sixth term : 81 × 3 = 243

            Seventh term : 243 × 3 = 729

            Eighth term : 729 × 3 = 2187

Step:2

            Sum of first 8 terms = 1 + 3 + 9 + 27 + 81 + 243 + 729 + 2187

                                              = 3280

            Sum of first 8 terms = 3280

Result:

           The sum of the first 8 items in the geometric sequence:1, 3, 9, 27, ...etc is 3280.

                                       

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Answer:

\LARGE{ \underline{\underline{ \sf{\pink{ Required\: answer:}}}}}

<h2><u>GIVEN</u><u> </u>- </h2>

  • Water tank which is in a shape of right rectangular prism

Dimensions = 6 feet × 4 feet × 7 feet

<h3><u>TO</u><u> </u><u>FIND</u><u> </u><u>-</u><u> </u> </h3>

  • Surface area of tank

<h2><u>SOLUTION</u> - </h2>

<em><u>Using</u></em><em><u> </u></em><em><u>formula</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>surface</u></em><em><u> </u></em><em><u>area</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>right</u></em><em><u> </u></em><em><u>rectangular</u></em><em><u> </u></em><em><u>prism</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em>

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L = length

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( assumimg 6 feet = L , 4 feet = W , 7 feet = h)

Putting value of L, W and H in the equation. we get,

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= 2(24 + 42 + 28)

= 2( 94)

= 2 × 94

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