Question

Volume of prisms and cylinders

Answer 1

Answer:

7)V=16257.74

8)V= 226.19

9)V=12.56

10)V=6283.18

11)r=6.631

12)h=69.05

13)V=35328.78

Step-by-step explanation:

Volume of cylinder is given by formula:

V=πr^2h

where r is radius and h is height of cylinder

7)

r=15

h=23

Putting values in formula:

V= π(15)^2(23)

 =5175π

  =16257.74

8)

diameter=6

r=d/2=3

height =?

Finding height by pythagoras theorem:

h^2= 10^2-6^2

     =100-36

     =64

h=8

Putting values in formula:

V=π(3)^2(8)

  = 72π

   = 226.19

9)

r= 2

h=1

Putting values in formula:

V=π(2)^2(1)

  =4π

  = 12.56

10)

diameter =20

r=d/2=10

h=20

Putting values in formula:

V=π(10)^2(20)

  =2000π

  =6283.18

Now finding the missing measures:

11)

Given V=210π

h = 15

r=?

Putting values in formula:

210π=π(r)^2(15)

r^2= 210π/15

    =14π

r= 6.631

12)

V=197.82

r=3

h=?

Putting values in formula:

197.82=π(3)^2(h)

h= 197.82/9π

 = 69.05

13)

r=21

h=25.5

Putting values in formula:

V= π(21)^2(25.5)

 =11245.5π

  =35328.78 !