38. A heap of wheat is in the form of a cone whose diameter is 48 m an

1.	38. A heap of wheat is in the form of a cone whose diameter is 48 m and height is 7m. Find itsvolume. If the heap is to be covered by canvas to protect it from rain, find the area of the canvasrequired.
Answer» $\LARGE\underline\mathfrak{AnSwEr:}$ •ᴠᴏʟᴜᴍᴇ ᴏғ ᴄᴏɴᴇ = $\bf\ 4424cm^<klux>3</klux>$ • ᴀʀᴇᴀ ᴏғ ᴄᴀɴᴠᴀs ʀᴇǫᴜɪʀᴇᴅ = $\bf\ 1885.714cm^2$ $\LARGE\underline\mathfrak{Step \: by \: step \: explanation:}$ $\normalsize{\sf{\underline{\underline \orange{Given}}}}$ • ᴅɪᴀᴍᴇᴛᴇʀ ᴏғ ᴄᴏɴᴇ = 48ᴄᴍ •ʀᴀᴅɪᴜs ᴏғ ᴄᴏɴᴇ = $\bf\frac{D}{2} \: = \: \frac{48}{2} \: =$ 24ᴄᴍ • ʜᴇɪɢʜᴛ ᴏғ ᴄᴏɴᴇ = 7ᴄᴍ •sʟᴀɴᴛ ʜᴇɪɢʜᴛ ᴏғ ᴄᴏɴᴇ(ʟ)= $\bf\displaystyle\sqrt{ h^2 \: + r^2} \: = \: \sqrt{49 \: + \: 576} \: =$ 25ᴄᴍ $\normalsize{\sf{\underline{\underline \orange{To \: find}}}}$ •ᴠᴏʟᴜᴍᴇ ᴏғ ᴄᴏɴᴇ • ᴀʀᴇᴀ ᴏғ ᴄᴀɴᴠᴀs ʀᴇǫᴜɪʀᴇᴅ $\normalsize{\sf{\underline{\underline \orange{Volume \: of \: cone}}}}$ ${\boxed{\bf\red{Volume \: of \: cone \: = \: \frac{1}{3} \pi r^2h}}}$ ʙʟᴏᴄᴋ ᴛʜᴇ ᴠᴀʟᴜᴇs ɪɴ ᴀᴠᴀɪʟᴀʙʟᴇ ᴅᴀᴛᴀ ; ➠ $\large\tt\frac{1}{3} \times\frac{22}{7} \times\ (<klux>24</klux>)^2 \times\ 7$ ➠ $\large\tt\frac{ 1 \times\ 22 \times\ 24 \times\ 24 \times\ 7}{ 3 \times\ 7}$ ➠ $\large\tt\ 1 \times\ 22 \times\ 8 \times\ 24$ ᴄᴀɴᴄᴇʟ ᴛʜᴇ ᴠᴀʟᴜᴇs;( 24 ʙʏ 3 ᴀɴᴅ 7 ʙʏ 7) ➠ $\large\tt\ 4424cm^3$ ➠ ${\boxed{\sf{Volume \: of \: cone \: = \: 4424cm^{3} }}}$ $\normalsize{\sf{\underline{\underline \orange{Area \: of \: canvas \: required}}}}$ •ᴀʀᴇᴀ ᴏғ ᴄᴀɴᴠᴀs ʀᴇǫᴜɪʀᴇᴅ ᴍᴇᴀɴs ᴛʜᴇ ᴏᴜᴛᴇʀ ᴄᴏᴠᴇʀɪɴɢ ʀᴇǫᴜɪʀᴇᴅ,sᴏ ᴡᴇ ᴜsᴇ ᴛʜᴇ ᴄᴜʀᴠᴇᴅ sᴜʀғᴀᴄᴇ ᴀʀᴇᴀ ғᴏʀᴍᴜʟᴀ ${\boxed{\bf\red{Curved \: surface \: area \: of \: cone \: = \: \pi rl}}}$ ʙʟᴏᴄᴋ ᴛʜᴇ ᴠᴀʟᴜᴇs ɪᴍ ᴀᴠᴀɪʟᴀʙʟᴇ ᴅᴀᴛᴀ; ➠ $\large\tt\frac{22}{7} \times\ 24 \times\ 25$ ➠ $\large\tt\frac{ 22 \times\ 24 \times\ 25}{7}$ ➠ $\large\tt\ 1885.714cm^2$ ➠ ${\boxed{\sf{Area \: of \: canvas\: = \: 1885.714cm^2}}}$