Composite Solid: Hemisphere Joined to a Cylinder

Composite Solid: Hemisphere Joined to a Cylinder

Secondary 2

The iron solid is made up of a hemisphere joined to a cylinder with a radius of \(6\) cm and a height of \(10\) cm as shown.

  1. Calculate
    1. the total volume of the solid,
    2. the total surface area of the solid.
  2. If the solid is melted to form a pyramid of a base area of \(250\) cm\(^{2}\), find the height of the pyramid.

Video Solution:

Video Solution

Video solution locked

A free account saves your progress; this video needs tuition enrolment.

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.

Create a free account to practise similar questions.

Answer:(a)(i) \(1580\text{ cm}^3\) (a)(ii) \(716\text{ cm}^2\) (b) \(19.0\text{ cm}\)

Need help? Join our IP Math tuition programme.

Learn more