10.1 Volumes of Cylinders
Find the volume of a cylinder with a radius of 6 feet and a height of 3 feet. Round your answer to the nearest tenth.
339.3 square feet
Find the volume of a cone with a diameter of 6 feet and a height of 9 feet. Round your answer to the nearest tenth.
84.8 cubic feet
Find the volume of a sphere with a radius of 11m
5575.3 cubic m
Prism A has a square base of 4ft by 4ft and a height of 8ft.
Prism B has a square base of 3ft by 3ft and a height of 6 ft.
Are the prisms similar?
Yuh
Name the firts Sorrowful Mystery
The Agony in the Garden
Find the height of a cylinder with a diameter of 4 yards and a volume of 88 cubic yards. Round your answer to the nearest whole number.
7 yd
Find the height of a cone with a radius of 6 yards and a volume of 75 cubic yards. Round your answer to the nearest whole number.
2 yd
Find the radius of a sphere with a volume of 2304π cubic centimeters.
12cm
Two square pyramids are similar. Pyramid D has a base of 4 cm and a height of 6 cm. Pyramid E has a base of s cm and a height of 14 cm. Find s
9.33 cm
Name the 5th Glorius Mystery
The Coronation of Mary
Find the radius of the cylinder with a height of 3cm and a volume of 236 cubic centimeters. Round your answer to the nearest whole number.
5cm
Find the radius of a cone with a height of 27mm and a volume of 5542 cubic mm. Round your answer to the nearest tenth.
14.0mm
The radius of the silo is 9 feet and the overall height is 48 feet. What is the volume of the silo? Round your answer to the nearest thousand.
11,000 cubic feet
Two cones are similar. Cone F has a radius of 3 cm and a surface area of 75 square centimeters. Cone G has a radius of 2 cm. Find the surface area of a Cone G.
75 square centimeters
Name the 3rd Joyful Mystery of the Rosary
The Nativity
A cylindrical watercooler bottle has a diameter of 1 foot and a height of 1.25 feet. About how many gallons of water can be held in the watercooler bottle? (1 ft3 ≈ 7.5 gal)
7.4 gal
A vapor cone is a cloud of condensed water that forms when an aircraft breaks the sound barrier. How does doubling both the diameter and the height affect the volume of the vapor cone?
The volume is 8 times the original
A cylindrical container of three rubber balls has a height of 18 centimeters and a diameter of 6 centimeters. Each ball in the container has a radius of 3 centimeters. Find the amount of space in the container that is not occupied by rubber balls. Round your answer to the nearest whole number.
170 cubic cm
Two Cylinders are similar. Cylinder H has a height of 4in and a volume of 314 cubic inches. Cylinder J has 6in. Find the volume of cylinder J.
1059.8 cubic inches
Name the 5th Luminous Mystery
The Institution of the Holy Eucharist
A traditional “square” bale of hay is actually in the shape of a rectangular prism. Its dimensions are 2 feet by 2 feet by 4 feet. How many square bales contain the same amount of hay as one large “round” bale?
About 4 square bales
Water leaks from a crack in a cone-shaped vase at a rate of 0.5 cubic inch per minute. Th e vase has a height of 10 inches and a diameter of 4.8 inches. How long does it take for 20% of the water to leak from the vase when it is full of water?
About 24 min
The inner core of Earth begins about 3200 miles below the surface of Earth and has a volume of about 581,000,000π cubic miles. Approximate the radius of Earth. Justify your answer.
3958 mi
A hemisphere-shaped mole has a diameter of 5.7 millimeters and a surface area of about 51 square millimeters. Th e radius of the mole doubles. Estimate the new surface area of the mole.
204 square mm
Name the 3rd Luminous Mystery of the Rosary
The proclamation of the Kingdom