Question

1. A sphere is sliced so that the cross section does not intersect the center of the sphere.

Answer 1

1. The shape of cross-section is a circle.
2. The face parallel to ABCD is EFGH. Since this is a a rectangular shape,

A = L*H = 12*6 = 72 cm^2

3. The cross-section parallel to ABC is DEF with h = 12 ft, b= 5ft (where h is the height and b is the base of a right angled triangle).

Area, A = 1/2 *b*h = 1/2*5*12 =30 ft^2

4. Plane BDHF is a rectangle shape whose length is the diagonal of ABCD.

Diagonal BD = sqrt (AB^2+BD^2) = sqrt (8^2+7^2) = 10.63 cm.
Perimeter, P = 2(BD+DH) = 2(10.63+6) = 33.26 cm

Answer 2

I just took the test its 33.3