Question

HELP! ASAP! PLEASE! WILL GIVE BRAINLIEST!
A spherical ball is glued on top of a box with dimensions of 10 feet by 5 feet by 8 feet. The total surface area of the ball and the box is 352.56 sq ft. What is the radius of the ball?
A. 1 in
B. 2 in
C. π in
D. 3.14 in

Answer 1

Answer:

First, you have to find out the surface area of the box

=> Sbox = 10 x 5 x 2 + 10 x 8 x 2 + 5 x 8 x 2 = 340

Denote Surface area of the ball as Sball, we have:

    Sball + Sbox = 352.56

=> Sball = 352.56 - Sbox = 352.56 - 340 = 12.56

From the formula to calculate Sball, we have:

    4 x pi x radius^2 = 12.56

=> radius^2 = 12.56/(4 x pi) = 1   (here, pi = 3.14)

=> radius  = 1 in

Hope this helps!

:)

Answer 2

Answer:

A. 1 in

Step-by-step explanation:

Surface area = cuboid + sphere

352.56 = 2[(10×5) + (10×8) + (5×8)] + sphere

Sphere = 12.56

4pi × r² = 12.56

r² = 1

r = 1