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olasank [31]
3 years ago
6

If a pyramid has a height of 10 in. and a base with an area of 90 in² , what is the volume of the pyramid?

Mathematics
1 answer:
harkovskaia [24]3 years ago
3 0

Answer:

300 in³

Step-by-step explanation:

By definition, volume of a pyramid,

= (Base Area x height ) / 3

= (90 x 10) / 3

= 900/3

= 300 in³

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PLEASE HELP!
IrinaVladis [17]

Answer:

Step-by-step explanation:

<h3>Sphere:</h3>

1) a) r =  7 cm

 \sf \boxed{\text{Volume of sphere=$\dfrac{4}{3}\pi r^3$}}

                             \sf =\dfrac{4}{3}*3.14*7*7*7\\\\= 1436 \ cm^3

 \sf \boxed{\text{\bf Surface area of sphere = $4\pi r^2$}}

                                           = 4*3.14 * 7 * 7

                                           = 615.44 cm²

b) r= 8.4 cm

     Volume = \dfrac{4}{3}\pi r^3

                  \sf =\dfrac{4}{3}*\dfrac{22}{7}*8.4*8.4*8.4\\\\= 2483.7 \ cm^3

   Surface area = 4*3.14*8.4*8.4

                         = 887.04 cm²

<h3>Hemisphere:</h3>

      a) r = 6 cm

     \sf \boxed{\text{\bf Volume of hemisphere =$\dfrac{2}{3} \pi r^3$}}

                                                \sf =\dfrac{2}{3}*3.14*6*6*6\\\\= 452.16 \ cm^3

        \sf \boxed{\text{\bf Surface area of hemisphere=3 \pi r^2}}\sf \boxed{\text{\bf Surface area of hemisphere = $3 \pi r^2$}}

                                                            = 3 * 3.14 * 6 * 6

                                                             = 339.12 cm²

                                                           

                       

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