A glass ornament in the shape of a cone is placed onto a horizontal table. The cone has a radius of 7cm and a vertical height of 24cm. The surface area of the glass, in cm squared, in terms of pi is what?

The slant height of the cone is the hypoteneuse of a 7 - 24 - 25 right triangle

The "formula" for a cone's surface area is SA = pi(R^{2} + R*L) where R is the radius and L is the slant height

So we have

Sa = pi[7^{2}+(7)(25)] = pi [49 + 175] = 224pi

A pain to answer.

its 42pi cm^2

A formula for the surface area of a cone is: SA = πr² + πr√(h² + r²)

Substituting: SA = π(7)² + π(7)√( (24)² + (7)² )

SA = 49π + 7π√( 576 + 49 )

SA = 49π + 7π√(625)

SA = 49π + 7x25π

SA = 49π + 175π

SA = 224π