Question

For a hemisphere, diameter, curved surface area and volume is denoted by d,s and v
respectively then show that 6v = s×d
​

Answer 1

Answer:

See the attachment ☝☝☝

Answer 2

$\dashrightarrow\textrm{Diameter (d) = 2 \times r = 2r}$

$\dashrightarrow\textrm{Curved Surface Area (s) = 2 \times\: \pi \times r ^2 = 2 \pi r ^2 }$

$\dashrightarrow\textrm{Volume (v) = 2/3 \times\: \pi \times r ^3 = 2/3 \pi r ^3 }$

$\textsf{We need to Prove : 6v = s \times d}$

$\longrightarrow\rm{6\times 2/3\pi r^3=2\pi r^2\times 2r}$

$\longrightarrow\rm{12/3\pi r^3=4\pi r^2\times r}$

$\longrightarrow\rm{4\pi r^3=4\pi r^3}$

$\boxed{\boxed{\textsf{Hence Proved!}}}$