The circumference of the bottom surface of a cylinder is 62.8 cm and the height is 30 cm. If the cylinder is cut into the largest cuboid, what is the volume of the cuboid

The circumference of the bottom surface of a cylinder is 62.8 cm and the height is 30 cm. If the cylinder is cut into the largest cuboid, what is the volume of the cuboid

First, find the bottom radius, 62.8 △ 3.14 △ 2 = 10cm, then look at the plane, find the largest square in the circle, the area of the largest square in the circle is 78.5% of the circle, that is, 10x10x3.14x78.5% = 78.5 square centimeter, and then multiply 78.5 by height, 78.5x30 = 2355 square centimeter

If a cuboid and a cylinder have the same base area and height, then their volumes are also equal

Yes, their volume formula is the base area times the height, so they are equal
Remember to adopt it after you finish it!

If a cuboid and a cylinder have the same volume and height, then their bottom area ()
A. Not equal B. equal C. not sure

The volume of cuboid = base area × height, the volume of cylinder = base area × height, so when the volume and height are equal respectively, the area of cuboid and cylinder is equal

Cuboids and cylinders with the same base area and height have the same volume______ (judge right or wrong)

Cuboid volume = base area × height, cylinder volume = base area × height, so when the base area and height are equal, the cuboid and cylinder volume are equal, so the original statement is correct

If the area and height of the bottom of a cylinder and a cuboid are equal, their volumes must be equal ..______ (judge right or wrong)

For cuboids and cylinders with equal base area and height, their volumes are also equal because their volumes are calculated by base area × height

The volume of a cuboid and a cylinder is equal. The area of the cuboid's bottom is two-thirds of the area of the cylinder's bottom. The cuboid's height is () times of the cylinder's height

The volume formula of cuboid and cylinder can be simplified as: base area × height
So, when the area of the bottom of the cuboid is 2 / 3 of that of the cylinder, let them have the same volume,
The height of cuboid is 3 / 2 of that of cylinder, that is 1.5 times of that of cylinder

Now for a cylinder, a cone and a cuboid with the same base area and volume, the height of the cylinder
The cuboid is high ()

The height of a cylinder is equal to that of a cuboid
A cone is three times the height of a cuboid, and a cone of equal volume is three times the height of a cylinder

If the height and volume of a cylinder and a cone are equal, the bottom area of the cone is equal to that of the cylinder______ ．

The volume of the cylinder: v = S1H, the volume of the cone = 13s2h, from the meaning can be obtained: S1H = 13s2h, S2 = 3s1; answer: the area of the bottom of the cone is three times the area of the bottom of the cylinder

The volume of a cylinder is equal to that of a cone. The circumference of the bottom of the cylinder is twice that of the cone. The height of the cylinder is ()
A. 16b. 6x C. 112d. 12x

Because the circumference of the bottom of the cylinder is twice that of the cone, let the area of the bottom of the cone be s, then the area of the bottom of the cylinder is (2 × 2) × s = 4S, the height of the cylinder is h, the volume of the cylinder is v = 4sh, the volume of the cylinder is the volume of the cone, the height of the cone is 4sh △ 13 △ s = 12h, and the ratio of the height of the cylinder and the cone is h △ 12h = 112

The area ratio of a cylinder to a cuboid is 1:2, the height ratio is 2:5, and the volume ratio is ()
A. 2：5B. 1：2C. 2：10D. 3：7

The volume of the cylinder is 1 × 2 = 2, the volume of the cuboid is 2 × 5 = 10, and their volume ratio is 2:10