Question

A tap is hemisphere over a cone.The common radius is 7cm height of the conical part is 24cm . Find the TSA and volume of the top

Answer 1

Answer:

TSA = 273 π cm², V = 228.66 π cm³

Step-by-step explanation:

We have to find the slant height of a cone:

l² = 24²  +  7²

l² = 576 + 49 = 625

l = 25

TSA= r l π + 1/2 * 4 r² π = 7 * 25 π + 2 * 49 π = 273 π cm² ( or 857.22 cm² )

V = 1/2 * 4/3 r³ π = 2/3 * 7³ π  = 228.66 π cm³ ( or 718.01 cm³ ).