Question

Please solve with explanation

Answer 1

Following are the responses to the given point:

Step-by-step explanation:

`r=8\ cm\\\\h=10 \ cm\\\\l=√(r^2+h^2)=√(10^2+8^2)=√(100+64)=√(164)`

Area of cone:

`A=\pi r l +\pi r^2\\\\`

`=\pi* 8* √(164) +\pi * 8^2\\\\=(22)/(7)* 8(√(164) + 8)\\\\= 522.92\ cm^2\\\\=522.9 \ cm^2\\`

Volume of cone:

`v=(1)/(3)\pi r^2 h\\\\`

`=(1)/(3) *(22)/(7) * 8^2 * 10\\\\=670.2\ cm^3\\\\`

Calculating the empty space:

`V' =\text{cylinder volume- cone volume}= \pi r^2h-(1)/(3) \pi r^2h=(2)/(3) \pi r^2h\\\\`

`V'=2 * \text{cone volume} \\\\`

`=2 * 670.2\ cm^2\\\\=1340.4\ cm^2`