Question

7. A cylinder and a cone have equal bases.
The height of the cylinder is 3 cm and the
area of its base is 100 cm. The cone is placed
upon the cylinder. Volume of the solid
figure so formed is 500 cm. Find the total
height of the figure.
Fig 7.10​

Answer 1

Step-by-step explanation:

Consider the following question.

The height of the cylinder =3cm

the area of its base =100cm

2

Volume of the solid figure =500cm

3

Find the total height of the figure-

Total volume of solid figure= volume of cylinder+volume of cone

A=πr

2

π

100

=r

2

....(1)

Put the value of eq.1 in eq 2

500=A×h

1

+

3

1

πr

2

h

2

500=100×3+

3

1

π×

π

100

×h

2

500−300=

3

100h

2

200=

3

100h

2

h

2

=6cm

H=h

1

+h

2

=3+6

=9cm

Hence, this is the required answer