Which label on the cone below represents the vertex?
A cone. A is the base, C is the center of the base, B is the height, and D is the vertex.
A
B
C
D
D
Which label on the cone below represents the radius?
A cone. A is the base, C is the center of the base, B is the height, and D is the vertex.
A
B
C
D
C
Isabella uses the equation V = one-third (12) squared (9) pi to find the volume of the cone below.
A cone has a height of 9 centimeters and base of 12 pi centimeters squared.
What is Isabella’s error?
Isabella should have divided 12 by 2 before squaring to get V = one-third (6) squared (9) pi.
Isabella should have squared 9 instead of 12 to get V = one-third (9) squared (12) pi.
Isabella should have divided the product of 12 and 9 by 3 to get V = StartFraction 12 (9) Over 3 EndFraction.
Isabella should have divided the product of 12 pi and 9 by 3 to get V = StartFraction 12 pi (9) Over 3 EndFraction.
Isabella should have divided the product of 12 and 9 by 3 to get V = StartFraction 12 (9) Over 3 EndFraction.
What is the measure of the radius of the cone in the diagram below?
A cone has a height of 6 centimeters and diameter of 8 centimeters.
3 cm
4 cm
6 cm
8 cm
The measure of the radius of the cone is 4 cm.
A cone has a height of 2.5 in. and a radius of 5 in. What is the volume of the cone? (Use 3.14 for Pi. Round the answer to two decimal places.)
32.71 Inches cubed
65.42 Inches cubed
196.25 Inches cubed
588.75 Inches cubed
The volume of the cone can be calculated using the formula V = (1/3)πr²h, where r is the radius and h is the height.
Plugging in the values, V = (1/3) * 3.14 * 5² * 2.5 = 65.42 inches cubed.
Therefore, the volume of the cone is approximately 65.42 Inches cubed.
What number can be used to complete the volume statement for the cone?
A cone with height 4 meters and diameter 3 meters.
Volume =
Pi meters cubed
To find the volume of the cone, we can use the formula V = (1/3)πr²h, where r is the radius and h is the height.
Given that the diameter is 3 meters, we can calculate the radius by dividing it by 2: radius = diameter / 2 = 3 / 2 = 1.5 meters.
Plugging in the values, the volume of the cone is V = (1/3) * π * (1.5)² * 4 = π * 2.25 * 4 / 3 = π * 9 / 3 = 3π meters cubed.
Therefore, the number that can be used to complete the volume statement for the cone is 3π.
An ice cream cone has a diameter of 6 inches and a height of 7 inches. What number can be used to complete the volume statement for the ice cream cone?
Volume =
Pi inches cubed
To find the volume of the ice cream cone, we can use the formula V = (1/3)πr²h, where r is the radius and h is the height.
Given that the diameter is 6 inches, we can calculate the radius by dividing it by 2: radius = diameter / 2 = 6 / 2 = 3 inches.
Plugging in the values, the volume of the ice cream cone is V = (1/3) * π * (3)² * 7 = π * 9 * 7 / 3 = π * 21 inches cubed.
Therefore, the number that can be used to complete the volume statement for the ice cream cone is 21π.
Raj, Amit, Parul, and Lara were asked to find the volume of the following cones.
Raj
Amit
Parul
Lara
A cone with diameter of 5 centimeters and height of 3 centimeters. A cone with a radius of 3 centimeters and height of 4 centimeters. A cone with a height of 7 centimeters and Base = 4 pi centimeters squared. A cone with a height of 6 centimeters and Base = 3 pi centimeters squared.
Whose cone has a volume closest to 9 pi centimeters cubed?
Raj
Amit
Parul
Lara
To determine whose cone has a volume closest to 9π centimeters cubed, we can calculate the volumes of the given cones using the formula V = (1/3)πr²h, where r is the radius and h is the height.
1) For Raj's cone:
- Diameter = 5 centimeters, so the radius is 5/2 = 2.5 centimeters.
- Height = 3 centimeters.
- Volume = (1/3)π(2.5)²(3) = 9.375π centimeters cubed.
2) For Amit's cone:
- Radius = 3 centimeters.
- Height = 4 centimeters.
- Volume = (1/3)π(3)²(4) = 12π centimeters cubed.
3) For Parul's cone:
- Height = 7 centimeters.
- Base = 4π centimeters squared.
- Since we don't have the radius, we cannot calculate the volume accurately.
4) For Lara's cone:
- Height = 6 centimeters.
- Base = 3π centimeters squared.
- Since we don't have the radius, we cannot calculate the volume accurately.
Comparing the calculated volumes, we find that Amit's cone has a volume of 12π centimeters cubed, which is the closest to 9π centimeters cubed.
Therefore, Amit's cone has a volume closest to 9π centimeters cubed.
A cone with height 12 centimeters and volume 16 pi centimeters cubed.
What is the radius of the cone?
1 cm
2 cm
4 cm
8 cm
To find the radius of the cone, we can rearrange the volume formula V = (1/3)πr²h to solve for the radius (r).
Given that the volume is 16π cubic centimeters and the height is 12 centimeters, we plug in the values and solve for r:
16π = (1/3)πr²(12)
48 = r²(12)
4 = r²
Taking the square root of both sides, we find that r = 2.
Therefore, the radius of the cone is 2 cm.