Volume and surface area formulas

1103170702

Level: 
B
Let there be a cone with the base diameter of \( 8\,\mathrm{cm} \) and the slant height of \( 5\,\mathrm{cm} \). Find the volume and surface area of the cone. Leave your answer in terms of \( \pi \).
\( V=16\pi\,\mathrm{cm}^3 \), \( S=36\pi\,\mathrm{cm}^2 \)
\( V=64\pi\,\mathrm{cm}^3 \), \( S=104\pi\,\mathrm{cm}^2 \)
\( V=64\pi\,\mathrm{cm}^3 \), \( S=104\pi\,\mathrm{cm}^2 \)
\( V=16\pi\,\mathrm{cm}^3 \), \( S=28\pi\,\mathrm{cm}^2 \)

1103170705

Level: 
B
A cone has the lateral area of \( 72\,\mathrm{dm}^2 \) and the slant height of \( 80\,\mathrm{cm} \). Find the volume of this cone. Round your answer to \( 2 \) decimal places.
\( 64.20\,\mathrm{dm}^3 \)
\( 192.59\,\mathrm{dm}^3 \)
\( 69.74\,\mathrm{dm}^3 \)
\( 23.25\,\mathrm{dm}^3 \)

1103189202

Level: 
B
Find the surface area of a square pyramid (see the picture) with the base edge length of \( 6\,\mathrm{cm} \) and the height of \( 8\,\mathrm{cm} \).
\( 12\left(3+\sqrt{73}\right)\,\mathrm{cm}^2 \)
\( 132\,\mathrm{cm}^2 \)
\( 156\,\mathrm{cm}^2 \)
\( 12\left(3+2\sqrt{73}\right)\,\mathrm{cm}^2 \)