Question

a cone is cut off from a cuboidal block of dimensions 15cm× 10cm×5 cm the diameter and height of the cone are 5cm and 7cm respective find the total volume of the remaining block​

Answer 1

Answer:

a cone is cut off from a cuboidal block of dimensions 15cm× 10cm×5 cm the diameter and height of the cone are 5cm and 7cm respective. The total volume of the remaining block ​743.453 cm³

Step-by-step explanation:

To get the volume of the remaining block, we need to get the volume of the cuboidal block and the cone.

The volume of a cuboid = Length × Width × height

Doing the substitution we have:

Volume = 15 × 10 × 5 = 750 cm³

Volume of a cone is given by:

Volume = 1/3 πr²h

r = 5/2 = 2.5 cm

h = 7 cm

Volume = 1/3 × 2.5² × 7 × 22/7 = 6.547 cm³

The volume of the remaining block is given by:

Volume  = 750 cm³ - 6.547 cm³ = 743.453 cm³