Question

Volume of composite shapes.

Answer 1

V = 707 cm³

Explanation:

For Cylinder:

Volume = πr²h

height (h)=9cm

π=3

diameter(d)= 10cm

therefore, radius(r)=d/2=10/2=5 cm

Now,

Substituting Value

Volume of cylinder= π*5²*9=3*25*9=675 cm³

For Sphere:

Volume = 4/3 *π*r³

π=3

radius(r)= 2 cm

Substituting Value

Volume of sphere = 4/3*3*2³=32 cm³

Now.

Volume of composite figures= Volume of cylinder+ volume of sphere

= 675+32

=707 cm³

Therefore,Volume of composite figures is 707 cm³

Answer 2

707cm³

Given :

• An object consisting of a cylinder and a sphere above it's surface

To find :

• Volume of the object

Solution :

To find the volume of the object,we have to find the volume of the cylinder and add it to the volume of the sphere given.

• Volume of a cylinder = πr²h
• radius of the cylinder = 10/2 = 5cm
• height of the cylinder = 9cm
• given value for π = 3
• Required volume = 3 x (5cm)² x 9cm
• Volume = 3 x 25cm² x 9cm
• Volume = 675cm³

Therefore,the volume of the cylinder is 675cm³

Now,

• Volume of a sphere = 4/3πr³
• radius of the given sphere = 2cm
• given value for π = 3
• Required volume = 4/3 x 3 x (2cm)³
• Volume = 4 x 8cm³
• Volume = 32cm³

hence,the volume of the sphere is 32cm³

Now, to find the volume of the object,we would add both the resultant volumes ,

• => 675cm³ + 32cm³
• => 707cm³

Hence,the volume of the given object would be 707cm³