This question is about surface area and volume chapter

Question

How to find TSA, CSA, VOLUME, OUTER CSA, INNER CSA AND EACH BASE AREA OF FOLLOWING 3D SHAPES. I need the formula plz

1.HOLLOW CONE

2.HOLLOW HEMISPHERE

3.HOLLOW SPHERE

4.RIGHT CIRCULAR CONE-IN THIS I ONLY WANT THE FORMULA HOW TO FIND EACH base surface area only i do not want rest of my parts for this one only

4.hollow cuboid-for this I only want LSA TSA, volume and each base area formula

5.hollow cube - for this i only want LSA, TSA, volume and each base area formula

Also plz tell me the difference between hollow cube and solid cube do they have same formula for calculation LSA, TSA and each base surface area and including volume???? Plz ans all these questions fast i am struggling a lot no one is helping me plz ans ??

Answer 1

1. Hollow Hemisphere

• Volume of hollow Hemisphere = 2π(R3 - r3)/3
• Total surface area of a hemisphere: 2π(R2 + r2) + π(R2 - r2) = 3π(R2 - r2)
• Curve surface area of a hemisphere: 2π(R2 + r2)

2.Hollow sphere

• Volume of hollow sphere = 4π(R3 - r3)/3
• Total surface area of hollow sphere = 4π(R2 + r2)
• Curve surface area of hollow sphere = 4π(R2 + r2)
• OUTER Curve surface area = 4πR2
• Inner Curve surface area = 4πr2

3.RIGHT CIRCULAR CONE

• Total surface area of hollow cone = πr(l + r)
• Curve surface area of hollow cone = πrl
• Base surface area = πr2

4. Hollow cuboid( same as Rectangular Prism)

• Total Surface Area of the Cuboid (or Rectangular Prism) = 2 x (lb + bh + hl)
• Volume of the Cuboid (or Rectangular Prism) = lbh.
• Curve surface area of Cuboid (or Rectangular Prism) = 2(l+ b) x h

5. Hollow cube

• Total Surface Area of the hollow cube = 6a2
• Curved Surface Area of the hollow cube = 4a2
• Volume of the hollow cube = a3

6. Hollow cone

• Volume of hollow cone = 1/3πh((R2 - r2)
• Curved Surface Area of the hollow cone = π(RL - rl)
• Volume of the hollow cone = V = π/3 x ( R2 x H - r2 x h )

Yes hollow cube and cuboid have same formula as solid cube and cuboid.

The hollow cube is a cube with a cubical ** in the middle.**The cube is the Platonic solid (also called the regular hexahedron). It is composed of six square faces that meet each other at right angles and has eight vertices and 12 edges. A cube with unit edge lengths is called a unit cube.

This is a cuboid with a rectangular **, two open, opposite sides and walls of equal thickness.**

The volume of a cuboid is calculated by multiplying the length by the width and the height of the cuboid. To calculated the volume of a cube, take the edge length of the cube to the power of 3. To determine the volume of a sphere, you have to take the diamater to the power of 3 and multiply it to**π**as well as 1/6.