Multiple choice

The internal radius of a hollow hemispherical vessel is 24 cm. It is made of a sheet of metal which is 1.5 cm thick. What is the total surface area (in cm$^2$) of the vessel?

  1. $2154.25π$
  2. $2456.25π$
  3. $2526.75π$
  4. $2080.75π$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The total surface area of a hollow hemispherical vessel includes the inner curved surface (2πr²), outer curved surface (2πR²), and the area of the circular ring at the top (π(R² - r²)). With inner radius r = 24 cm and outer radius R = 25.5 cm, the sum is 1152π + 1300.5π + 74.25π = 2526.75π cm². Option A (2154.25π) incorrectly omits the ring area, while Option D (2080.75π) uses incorrect radius measurements.