Question

MODELING REAL LIFE A hemisphere-shaped mole has a diameter of 5.7 millimeters and a surface area of about

51 square millimeters. The radius of the mole doubles. Estimate the new surface area of the mole. Round your
answer to the nearest whole number.
The new surface area is square millimeters.

Answer 1

The new surface area of the mole, when the radius is doubled, is approximately 206 square millimeters.

Step-by-step explanation:

To find the new surface area of the mole, we need to use the formula for the surface area of a hemisphere, which is given by:

A = 2πr²

where r is the radius of the hemisphere.

Given that the diameter of the mole is 5.7 millimeters, we can find the radius by dividing the diameter by 2. So, the radius is 2.85 millimeters.

Using the formula for the surface area of a hemisphere, we plug in the new radius (2.85 * 2 = 5.7 millimeters) and calculate:

A = 2π(5.7)² = 206.04 square millimeters

Rounding 206.04 to the nearest whole number, the new surface area of the mole is approximately 206 square millimeters.