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That the height of the cone of maximum volume that can be inscribed in a sphere of radius 12cm is 16cm?
The height of the cone of maximum volume that can be inscribed in a sphere of radius 12 cm is not 16 cm; it is actually 16 cm when considering the relationship between the cone's dimensions and the sphere's radius. The cone's volume is maximized when its height is two-thirds of the sphere's radius, which means the optimal height is ( \frac{2}{3} \times 12 \text{ cm} = 8 \text{ cm} ). Thus, the statement is incorrect; the correct height for maximum volume is 8 cm, not 16 cm.
What is the height of a cone with a height of 4 cm and a radius of 1 cm?
The height of a cone is given as 4 cm, and the radius is 1 cm. Therefore, the height of the cone is simply 4 cm. The radius does not affect the height.
What is the height of a cone with a base diameter of 16 inches proportional to a cone with a base diameter of 22 inches and a height of 4 feet?
To find the height of the smaller cone with a base diameter of 16 inches, we can use the principle of proportionality between similar cones. The ratio of the diameters (16 inches to 22 inches) is 16/22, which simplifies to 8/11. Since the height of the larger cone is 4 feet (or 48 inches), the height of the smaller cone can be calculated as follows: ( \text{Height} = \frac{8}{11} \times 48 \approx 34.91 ) inches. Thus, the height of the smaller cone is approximately 34.91 inches.
Slant height of a cone?
square root of r^2+h^2 You are pretty much just using the pythag. therom but replacing a and b with radius and height.
A snack bar sells popcorn and cone shaped containers. One container has a diameter of 8 inches and a height of 10 inches. How many cubic inches of popcorn does the container hold (Rounded to the nearest tenth)?
In coned shape containers*
What is the volume of a cone with a height of 14 inches and a radius of 9.9 inches?
A cone with a height of 14 inches and a radius of 9.9 inches has a volume of 1,436.9 cubic inches.
What is the volume of a cone with a radius of 14 inches and a height of 8 inches?
A cone with a radius of 14 inches and a height of 8 inches has a volume of 1,642 cubic inches.
What is the volume of a cone height is 14 inches and the radius is 9.9?
A cone with a base radius of 9.9 inches and a height of 14 inches has a volume of 1,436.9 cubic inches.
What is the volume of a cone that has a radius of 1 inches and a height of 6 inches?
A cone that has a radius of 1 inch and a height of 6 inches has a volume of 6.28 cubic inches.
What is the volume of this cone that has a radius of 6inches and height of 8inches?
A cone with a base radius of 6 inches and a height of 8 inches has a volume of 301.59 cubic inches.
What is the volume of a cone if the height is 14 inches and the radius is 9.9?
A cone with a base radius of 9.9 inches and a height of 14 inches has a volume of 1,436.9 inches3
What is the volume of a cone that has a base with a radius of 4 inches and a height of 12 inches?
A cone with a base radius of 4 inches and a height of 12 inches has a volume of 201.06 cubic inches.
Find the radius of a cone with the height of 4.5 inches and a volume of 3.375 pi inches?
The radius of a cone with the height of 4.5 inches and a volume of 3.375 pi cubic inches is: 1.5 inches.
What is the height of a cone with a volume of 408pi in cubed and a radius of 12 in?
A cone with a volume of 408pi inches3 (using 3.14 for Pi) and a radius of 12 inches will have a height of about 8.5 inches.
Volume of a circular cone 9 inches radius of 3?
A cone with a perpendicular height of nine inches and a base radius of three inches has a volume of: 84.823 cubic inches.
What is the volume of a cone with the radius of twelve inches and a height of twenty inches?
Volume = 3,015.92895 in3
What is the volume of a cone with the radius of 6 inches and height 8 inches?
Volume = 301.59289 in3
