Review for Volume!!
1)Which of the following has the greatest volume?
A) A sphere with a radius of 3 cmB) A cylinder with a height of 4 cm and a radius of 3 cm
C)cone with a height of 3 cm and a radius of 6 cmD) All three volumes are equal
2) What is the volume of a sphere with a radius of 6, answer in terms of Л and estimate to nearest hundredths.
3) A cone has a height of 9 and a base whose radius is 4. Find the volume of the cone in terms of Л and estimate to nearest hundredths.
4) What is the volume of a cylinder with a radius of 5 and a height of 3,answer in terms of Л and estimate to nearest hundredths.
5)A round ball has a diameter of 10 inches. What is the approximate volume of the ball, answer in terms of Л and estimate to nearest hundredths.
6) Find the volume of each solid. SHOW ALL WORK!
a) Leave in terms of Лb) Round to the nearest tenth.
7) Find the volume in both terms of Л and round to the nearest hundredths.
8) Nate uses a cube shaped bead with side lengths measuring 6mm. Each bead has a circular hole in the middle. The diameter of the circular hole is 3mm. Round to the nearest hundredth.
(hint: Find volume of cube (v= lwh) and subtract the volume of the cylinder)
9) The hemisphere has a diameter of 15 km. Find the volume the hemisphere will hold. Round to the nearest tenth.(A hemisphere is a half of a sphere)
10) Find the volume of the double-coned object. Leave in terms of Л.
11) A ball is inside the cylinder.Find the volume of the empty space inside the cylinder. The height of the cylinder is 6m, the radius of the cylinder is 3m, and the ball has a radius of 3m.
12) A hemisphere is attached to a cylinder with equal diameter. The cylinder has a diameter of 4.5 inches and a height of 2.5in.Round to the nearest hundredth.
13) April is filling six identical cones for her piñata. Each cone has a radius of 1.5 inches and height of 9 inches. What is the total volume of the piñata?
14) Here are the dimensions of a pill. Find the volume of the pill. Round to the nearest tenth.
15) Tanya uses a cube shaped bead with side lengths measuring 12mm. Each bead has a circular hole in the middle. The diameter of the circular hole is 2mm. Find the volume of the bead. Hint: draw a picture.
16) Three tennis balls are packaged in a box. The box is 12.1cm long, 3.5cm wide and 3.5 cm tall. Each ball is 3.3cm in diameter. What is the volume of the empty space in the box?
17) A cylindrical cake takes up 32π cubic inches.
The radius of the cake is 4 inches, what is the height of the cake?
18) The Roberts family uses a container shaped like a cylinder to recycle aluminum cans. It has a diameter of 1.5 feet and a volume of 2.25π ft3. If the container is filled half way to the top, what is the height that the cans reach?
19) The volume of a cone is 405 in3 with a diameter of 18in. Find the height of the cone.
20) Find the diameter of a cone with a volume of 48 ft3 and a height of 4ft.
21) Find the radius of a cylinder with a volume of 75 in3 and a height of 3 inches.