Formulla for curved surface area and total surface are
Answers
Answer:
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Step-by-step explanation:
of a hemisphere = 2πr2 and Curved Surface area of the cone = πrl. So,
The Total Surface Area of Ice-cream Cone = 2πr2 + πrl
Let’s take another example of a tent. In a tent we see two structures, one is the cone while the other is a cylinder. To Calculate the Total Surface Area of the tent we calculate the individual surface areas of shapes constituting the tent’s structure. Hence, Total Surface Area of a tent house = Curved Surface Area of the cone + Curved Surface Area of the cylinder = πrl + 2πrh.
Volumes of Composite Shapes
When we want to find the volume of a container we intend to calculate the capacity it can hold. While finding the volume of composite shapes we calculate the capacity of that structure if its hollow. But if its a concrete structure then the calculation for volume is done just to get an idea of the density of that structure.
For finding the volume of combined solids we follow the same level of calculation as we did in the surface area of a composite solid shape. So let’s find the volume of a capsule container on a truck carrying petroleum:
The capsule-shaped container loaded on a truck is a combination of a cylinder with adjoined hemispheres on both sides. Now, when we find the volume of this capsule-shaped container we add the individual volumes of all the constituting shapes. So, in this case, we add the individual volumes of 2 hemispheres and one cylinder.
The volume of a capsule container= Volume of hemisphere + Volume of Cylinder + Volume of Hemisphere = 2/3πr3 + πr2h + 2/3πr3 . This method of finding volumes of combined shapes is used in all types of composite shapes.
Formulae for Various Shapes
Surface Areas
The surface area of various solid shapes are given below:
Cuboid: 2(lb+bh+hl), where l, b and h are the length, breadth and height of a cuboid.
Cube: 6a2, a is the side of the cube.
Cylinder: 2πr (r+h), r is the radius of circular base and h is the height of the cylinder.
Cone: πr(l+r), r is the radius of the circular base, l is the slant height of the cone.
Sphere: 4πr2, r is the radius of the sphere.
Hemisphere: 3πr2, r is the radius of the hemisphere.
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of which cube ya cuboid.
please write proper question