A cylinder and a cone have the same base and height. The cylinder can hold about 4,712 Centimeters cubed of sand. Jared says tha
t the cone can hold about 1,178 Centimeters cubed of sand. Which explains whether Jared is correct? Jared is correct because the volume of the cone is less than the volume of the cylinder. The cone holds 4,712 minus 1,178 = 3,534 centimeters cubed less sand than the cylinder.
Jared is correct because the cone and the cylinder have the same base and height so the cone holds StartFraction 4,712 Over 4 EndFraction = 1,178 centimeters cubedof sand.
Jared is not correct because the cone and the cylinder have the same base and height so the cone holds StartFraction 4,712 Over 3 EndFraction almost-equals 1,571 centimeters cubed of sand.
Jared is not correct because the volume of the cone cannot be found without knowing the radius of the base and the height of the cone.
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
The formula for determining the volume of a cone is expressed as
Volume = 1/3πr²h
This means that the volume of a cone is 1/3 × volume of a cylinder if they have the same base and height.
If the cylinder can hold about 4,712 Centimeters cubed of sand and Jared says that the cone can hold about 1,178 Centimeters cubed of sand, then
Jared is not correct because the cone and the cylinder have the same base and height so the cone holds StartFraction 4,712 Over 3 EndFraction almost-equals 1,571 centimeters cubed of sand.
2 x 2 x 7 = 28 2 x 2 x 2 x 5 = 40 2 x 2 x 2 x 2 x 3 x 3 = 144 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 = 504... ... The LCM of the given two numbers using prime factorization is 36 ...
