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(R2 + R*L) where R is the radius and L is the slant height
So we have
Sa = pi[72+(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