Creseliaidn
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Please help me out!!! There’s 25 questions I can’t

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Sagot :

Devishri1977idn

Answer:

217.70 cubic units

Step-by-step explanation:

Volume of composite solid

   Cone:

           h= 5 units & r = 4 units

          [tex]\sf \boxed{Volume \ of \ cone = \dfrac{1}{3} \pi r^2h}[/tex]

                                       [tex]\sf = \dfrac{1}{3}*3.14*4*4*5\\\\ = 83.73 \ cubic units[/tex]

     Hemisphere:

            r = 4 units

                   [tex]\sf \boxed{Volume \ of \ hemisphere = \dfrac{2}{3} \pi r^3}[/tex]

                                                          [tex]\sf = \dfrac{2}{3}*3.14*4*4*4\\\\= 133.97 \ cubicunits[/tex]

Volume of composite solid = 83.73 + 133.97

                                               = 217.70 cubic units

Spbankingandsscserieidn

Explanation -:

In this question we are provided with the height and radius. We are asked to calculate the volume of a composite solid

First we will find the volume of a cone

We know,

[tex] \orange{\star \: \small\boxed{ \sf{ Volume_{(cone)} = \dfrac{1}{3}πr²h}}}[/tex]

Where,

  • r stand for radius
  • h stand for height
  • Assuming π as 3.14

Substituting the values we get

[tex] \small\bf Volume_{(cone)} = \dfrac{1}{3} \times 3.14×4 × 4×5[/tex]

[tex] \rightarrow \small\rm{ Volume_{(cone)} = \dfrac{1}{3}×251.2}[/tex]

[tex] \small\sf{ Volume_{(cone)} = 83.73 \:cubic \: units }[/tex]

Now we will calculate the volume of a hemisphere

We know,

[tex] \red{\star \: \small \boxed{\sf{ Volume_{(hemisphere)} = \dfrac{2}{3}πr³}}}[/tex]

Substituting the values we get

[tex] \small\bf{ Volume_{(hemisphere)} = \dfrac{2}{3} \times 3.14 × 4 × 4 × 4}[/tex]

[tex] \rightarrow\small\rm{ Volume_{(hemisphere)} = \dfrac{2}{3} \times 200.96}[/tex]

[tex] \rightarrow\small\rm{Volume_{(hemisphere)} = 2 \times 66.98} [/tex]

[tex] \small\sf{ Volume_{(hemisphere)} =133.97}[/tex]

Now we will calculate the volume

Volume = 83.73 + 133.97 = 217.70 cubic units

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