Question

The volume of the half-circle is 144 pie What will be its diameter?​

Answer 1

Answer:

Vol. of hemisphere = 2/3πr 3

=144π

r3=144πx3/2π = 216

r =3 v216=6cm

diameter = 6x2=12cm

r = 3V68.727=4.1cm

diameter=8.2cm

Answer 2

ANSWER...

FIRSTLY I MAKE SURE THAT IT IS HEMISPHERE NOT HALFCIRCLE....

$volume \: of \: hemisphere = \frac{2}{3} \pi {r}^{3} \\ \\ acc \: to \: question \: volume = 144\pi \\ \\ from \: these \: information \\ \\ \frac{2}{3} \pi {r}^{3} = 144\pi \\ \\ {r}^{3} = \frac{3 \times 144}{2} \\ \\ {r} = \sqrt[3]{3 \times 72} \\ \\ r = \sqrt[3]{3 \times 3 \times 2 \times 2 \times 2 \times 3} \\ \\ r = 3 \times 2 \\ \\ r = 6 \\ \\ multiply \: by \: 2 \: on \: both \: sides \\ \\ 2r = 12 \: units \\ \\ diameter = 12units$

WE KNOW THAT THE DIAMETER IS TWICE OF RADIUS SO WE CALCULATE RADIUS FROM GIVEN DATA AND THAN MULTIPLY BY TWO AT LAST......✓

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