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What else can I help you with?
How do you validate that fractions are equivalent?
The ratio of the two numerators is the same as the ratio of the two denominators.
What is the ratio of 0.78?
The ratio of .78 is 78/100 because that is decimal notation converted to a fraction. They both mean the same thing.
What do you call Ratios that name the same amount?
you call it an equivalent ratio
What is the definition of an equivalent ratio?
If two ratios have the same value when simplified.
What is the ratio from 14 to 7?
14 to 7 is the same as 2 to 1.
What is the ratio of the radii of a cone and a cylinder if they have the same volume and height?
Let the cylinder have radius R and height h Let the cone have radius r and same height h Then: Volume cylinder = πr²h Volume cone = ⅓πR²h If the volume are equal: ⅓πR²h = πr²h → ⅓R² = r² → R² = 3r² → R = √3 r → ratio radii cone : cylinder = 1 : √3
The volume of a cone compared to the volume of a cylinder?
If the area of the base and the height of the cylinder and the cone are the same, then the volume of the cone will always be one third of the volume of the cylinder.
How is the volume of a cone and a cylinder related?
The volume of a cone is 1/3 of the volume of a cylinder with the same radius and height
How is the volume of a cone related to the volume of the cylinder with the same radius and height?
The cone has 1/3 of the volume of the cylinder.
What is the formula of area of cone?
The volume of a cone is one third the volume of a cylinder of the same height. The volume of a cylinder is πr2h, so the volume of a cone is 1/3πr2h.
What happen to the volume of cone and cylinder if they have the same base and height?
In that case, the volume will also be the same.
A cone has one-third times the volume of a cylinder with the same base and altitude.?
The volume of a cone is indeed one-third the volume of a cylinder with the same base radius and height. The formula for the volume of a cylinder is ( V_{cylinder} = \pi r^2 h ), while the volume of a cone is ( V_{cone} = \frac{1}{3} \pi r^2 h ). Thus, if both shapes share the same base and height, the cone's volume will always be one-third that of the cylinder. This relationship highlights the differences in how space is occupied within these geometric shapes.
Show that the volume of cylinder is equal to one third the volume of cone?
It isn't. If the cylinder and the cone have the same height and radius, the cylinder has a larger volume (twice as large). If they do not have the same height and radius you need more information to prove their relative volumes.
A cone is inscribed in a cylinder. A square pyramid is inscribed in a rectangular prism. The cone and the pyramid have the same volume. Part of the volume of the cylinder V1 is not taken up by the c?
To find the volume of the cylinder ( V_1 ) that is not occupied by the cone, we first need to calculate the volumes of both the cone and the cylinder. The volume of the cone is given by ( V_{\text{cone}} = \frac{1}{3} \pi r^2 h ), while the volume of the cylinder is ( V_{\text{cylinder}} = \pi r^2 H ), where ( h ) is the height of the cone, ( H ) is the height of the cylinder, and ( r ) is the radius of the base. The volume of the space not occupied by the cone in the cylinder is then ( V_1 = V_{\text{cylinder}} - V_{\text{cone}} = \pi r^2 H - \frac{1}{3} \pi r^2 h ). Since the cone and the pyramid have the same volume, this relationship helps in understanding their dimensions but does not directly impact the volume calculation for the cylinder.
Which solid has a volume that is 3 times the volume of a cone with the same base and height?
It is a cylinder
If volume of a cone with the same height as cylinder the equation for the radius of cone R in terms of the radius of cylinder r is?
1884 cm3
What is the ratio of the volume of a cylinder to the volume of a cylinder having the same height but twice the radius?
1 to 4
