Question

in a cylindrical wooden block of radius 7cm and height 14 cm hemispherical blocks of radius 7cm are carved out from both ends. Find the volume of the resulting solid

Answer 1

Volume of solid =volume of cylinder+volume of 2hemisphere

VOLUME OF CYLINDER:

Radius = 7
height=14.

V =
$\pi \: r {}^{2} h$

=
$22 \div 7 \times 7 \times 7 \times 14$
=2156 cm^2



VOLUME OF HEMISPHERE:

r=7

v =
$2 \div 3\pi \: r {}^{3}$

102.6cm^2

2 Hemispheres =2*102.6

=205.6

Volume of solid=2156+205.6

=2361.6 cm^2

Answer 2

Answer:

1078 cm3

Step-by-step explanation:

step 1: first right the dimensions.

cylinder

r=7cm

h=14cm

hemisphere

r=7cm

it is given that hemispherical blocks are carved in. that means t reduces the volume of the cylinder. so, the volume of the resulting solid will be the volume of cylinder- volume of the two hemispheres(or a sphere)

we can take the two hemispheres as a sphere because two hemispheres of same radius makes a sphere

now lets do the calculation

volume of cylinder= $\pi r^{2} h$=22/7 ×7×7×14 =2156 cm3

volume of sphere = 2/3$\pi r^{3}$=2/3×22/7×7×7×7=1078cm3

now the volume of the resulting solid= 2156- 1078=1078cm3

hope this ans was helpful

pls mrk as brainliest

thank you