Question

Please solve with explanation

Answer 1

Answer:

Following are the responses to the given point:

Explanation:

$r=8\ cm\\\\h=10 \ cm\\\\l=\sqrt{r^2+h^2}=\sqrt{10^2+8^2}=\sqrt{100+64}=\sqrt{164}$

Area of cone:

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

   $=\pi\times 8\times \sqrt{164} +\pi \times 8^2\\\\=\frac{22}{7}\times 8(\sqrt{164} + 8)\\\\= 522.92\ cm^2\\\\=522.9 \ cm^2$

Volume of cone:

$v=\frac{1}{3}\pi r^2 h$

  $=\frac{1}{3} \times\frac{22}{7} \times 8^2 \times 10\\\\=670.2\ cm^3$

Calculating the empty space:

$V' =\text{cylinder volume- cone volume}= \pi r^2h-\frac{1}{3} \pi r^2h=\frac{2}{3} \pi r^2h$

$V'=2 \times \text{cone volume}$

    $=2 \times 670.2\ cm^2\\\\=1340.4\ cm^2$