Question

Find the surface area of a hemisphere with a diameter of 26 cm. Round your answer to the nearest tenth.

Answer 1

The surface area of a sphere is
`4 \pi r^(2)`.

Hence, the surface area of a hemisphere is half that,
`2 \pi r^(2)`.

If the base is also included then the surface area will be
`3 \pi r^(2)`.

Given,

Diameter = 26 cm

Therefore, Radius =
`(26)/(2)` = 13 cm

Thus,

Area =
`3 * \pi * 13^(2) = 3 * \pi * 169 = 507 \pi =` = 1592.8
`cm^(2)` [approx.]