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Cut a cone in half along the height perpendicular to the bottom, and the surface area increases by 36.1 square centimeters. The known height of the cone is 9 cm. What is the original volume of the cone?
r=36×2÷9=8
V = 3.14 × 64 × 9 △ 3 = 602.88 cm3
A cone wood block is cut in half along its height of 8 cm and perpendicular to the bottom. The surface area is increased by 48 square cm, which is the volume of the original cone
What's the cubic centimeter?
The surface area increases the area of two isosceles triangles. The bottom of the isosceles triangle is equal to the diameter of the bottom of the cone, and the height of the isosceles triangle is equal to the height of the cone
The area of an isosceles triangle is 48 △ 2 = 24 square centimeter
The diameter of the bottom surface of the cone is 2 × 24 △ 8 = 6cm
The base radius of the cone is 6 △ 2 = 3cm
The volume of the original cone = (1 / 3) × 3.14 × 3 & # 178; × 8 = 75.36 cubic centimeter
A cone block is cut in half along its height perpendicular to the bottom, and its surface area is increased by 48 square centimeters,
The height of the cone is 8 cm. Find the volume of the original cone
Master help!
As soon as possible urgent ah! If you answer well, you will be rewarded!
After being cut in half, the area of two triangles is increased. Thus, the area of a triangle is 48 / 2 = 24 (CM & # 178;), because the height is 8 cm, and the diameter of the bottom surface of the cone is 24 * 2 / 8 = 6cm, then the radius of the cone is obtained
Height, radius, volume
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