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11 problems match “volume of cylinder”. Clear

Small pipes matching one large pipe ●○○○○ 10 ptsA pipe with inside diameter $10''$ is to carry water from a reservoir to a small town in an arid land. Neglecting the friction and turbulence of the water against the inside of the pipes, what is the minimum number of $2''$ -inside-diameter pipes of the same length needed to carry the same volume of water to the arid town?
Tin can versus cylinder capacity ●○○○○ 10 ptsA tin can has a rectangular base of length $5\ \mathrm{cm}$ and width $4\ \mathrm{cm}$ , and height $15\ \mathrm{cm}$ . A plastic cylinder has a circular base of diameter $7\ \mathrm{cm}$ and height $10\ \mathrm{cm}$ . Use $\pi \approx \frac{22}{7}$ . By how many $\mathrm{cm}^3$ is the capacity of the plastic cylinder greater than the capacity of the tin can?
Volume of a cylindrical container ●○○○○ 10 ptsA cylindrical container has radius $4$ cm and height $35$ cm. Find its volume in cubic centimetres. Use $\pi = \frac{22}{7}$ .
Concrete needed for pillars ●○○○○ 10 ptsEach pillar of a temple is a cylinder with a circular base of radius 20 cm and height 10 m. How many cubic metres of concrete mixture are required to build 14 such pillars? Use $\pi \approx \frac{22}{7}$ .
Extra capacity of a plastic cylinder ●○○○○ 10 ptsA tin can has a rectangular base of length 5 cm and width 4 cm, and height 15 cm. A plastic cylinder has a circular base of diameter 7 cm and height 10 cm. By how many cm³ is the capacity of the larger container greater than that of the smaller one? Use $\pi \approx \frac{22}{7}$ .
Volume of an oblique circular cylinder ●○○○○ 10 ptsAn oblique circular cylinder has a base radius of 9 cm and a height of 28 cm. Find its volume in cubic centimetres. Use $\pi \approx \frac{22}{7}$ .
Volumes of two paper tubes ●●○○○ 20 ptsAmy and Belinda each roll a sheet of 6-inch by 8-inch paper to form a cylindrical tube. Amy tapes the two 8-inch sides together without overlap. Belinda tapes the two 6-inch sides together without overlap. What is $\pi$ times the positive difference of the volumes of the two tubes?
Radius of the wider can ●●○○○ 20 ptsTwo cylindrical cans have the same volume. The height of one can is triple the height of the other. If the radius of the narrower can is 12 units, find the radius of the wider can in units. Round to two decimal places.
Cylinder cut from a cuboid ●●○○○ 20 ptsA cylinder of maximum volume is cut from a wooden cuboid of length 30 cm whose cross-section is a square of side 14 cm. Use $\pi = \frac{22}{7}$ . Find the volume of the cylinder (in cm³) and the volume of wood wasted (in cm³).
Base area of a cone-cylinder solid ●●○○○ 20 ptsA solid consists of a cone on top of a cylinder, where the cylinder and the cone have the same radius. The height of the cone is 18 and the height of the cylinder is 1. If the volume of the solid is $49\pi$ , find the area of the base of the cylinder. Round to two decimal places.