UPSC CDS 2 2021 Math Paper

Given, height of the cone, h=16cm
diameter of the cone =14cm
∴ Radius of the cone, r=‌

14

2

=7cm And diameter of hemisphere =14cm
∴ Radius of hemisphere, r=‌

14

2

=7cm
Volume of the solid formed = Volume of the cone + volume of hemisphere
‌‌=‌

1

3

πr2h+‌

2

3

πr3
‌‌=‌

1

3

×‌

22

7

×7×7×16
‌‌‌+‌

2

3

×‌

22

7

×7×7×7
‌‌=‌

22×7×16

3

+‌

2×22×7×7

3

‌‌=‌

22×7

3

(16+14)
‌‌=‌

154

3

×30=1540cm3
Hence, the volume of the solid formed is 1540cm3.