1.

7. A cylinder and a cone have equal bases.The height of the cylinder is 3 cm and thearea of its base is 100 cm. The cone is placedupon the cylinder. Volume of the solidfigure so formed is 500 cm. Find the totalheight of the figure.Fig 7.10​

Answer»

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


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