Volume and surface of solids

1003165904

Level: 
B
How many litres of water can a cylinder-shaped plastic barrel with diameter of \( 30.48\,\mathrm{cm} \) and height of \( 51\,\mathrm{cm} \) hold? Round your result to \( 1 \) decimal place.
\( 37.2\,\mathrm{l} \)
\( 148.9\,\mathrm{l} \)
\( 372.1\,\mathrm{l} \)
\( 62.3\,\mathrm{l} \)

1003170501

Level: 
B
Find the volume and the surface area of a sphere with radius of \( 6\,\mathrm{cm} \). Leave your answer in terms of \( \pi \).
\( V=288\pi\,\mathrm{cm}^3 \), \( S=144\pi\,\mathrm{cm}^2 \)
\( V=144\pi\,\mathrm{cm}^3 \), \( S=288\pi\,\mathrm{cm}^2 \)
\( V=1728\pi\,\mathrm{cm}^3 \), \( S=144\pi\,\mathrm{cm}^2 \)
\( V=36\pi\,\mathrm{cm}^3 \), \( S=36\pi\,\mathrm{cm}^2 \)

1003170503

Level: 
B
Find the volume (in liters) and the surface area (in \( \mathrm{dm}^2 \)) of a beach ball with diameter of \( 200\,\mathrm{mm} \). Round your result to \( 1 \) decimal place.
\( V=4.2\,\mathrm{l} \), \( S=12.6\,\mathrm{dm}^2 \)
\( V=42\,\mathrm{l} \), \( S=1.3\,\mathrm{dm}^2 \)
\( V=33.5\,\mathrm{l} \), \( S=12.6\,\mathrm{dm}^2 \)
\( V=4.2\,\mathrm{l} \), \( S=50.3\,\mathrm{dm}^2 \)

1003170706

Level: 
B
A snack bar sells popcorn in cone-shaped containers. One such container has the diameter of \( 20.32\,\mathrm{cm} \) and the height of \( 25.4\,\mathrm{cm} \). Find the volume of this container and leave your answer in litres.
\( 2.75\,\mathrm{l} \)
\( 8.24\,\mathrm{l} \)
\( 10.98\,\mathrm{l} \)
\( 0.54\,\mathrm{l} \)

1103164601

Level: 
B
Let there be a triangular prism with the base area of \( 8\,\mathrm{cm}^2 \) and the height of \( 10\,\mathrm{cm} \) (see the picture). The volume of the prism is:
\( 80\,\mathrm{cm}^3 \)
\( 40\,\mathrm{cm}^3 \)
\( \frac{80}3\,\mathrm{cm}^3 \)
\( 20\,\mathrm{cm}^3 \)