Multiple choice

A cubical block of side 7 cm is surmounted by a hemisphere of diameter equal to the side of the cube.Find the surface area of the solid.

  1. <span class="mrow"><span class="mstyle"><span class="mrow"><span class="mn">$332.5cm^2$
  2. $322.5cm^2$
  3. $342.5cm^2$
  4. $38.5cm^2$
Reveal answer Fill a bubble to check yourself
A Correct answer
AI explanation

The total surface area of the solid is the total surface area of the cube minus the area of the base of the hemisphere plus the curved surface area of the hemisphere. The surface area of the cube is 6 * 7^2 = 294 cm^2. We subtract the base area of the hemisphere, pi * 3.5^2 = 38.5 cm^2, and add its curved surface area, 2 * pi * 3.5^2 = 77 cm^2, yielding 294 - 38.5 + 77 = 332.5 cm^2.

Keep practicing — related questions