Volume of Sphere is V=(4/3)*PI*r^3
The radius of the volleyball is 13 inches
<span>So V=(4/3) * 3.14 * 13^3 =
9198 cubic inches</span>
Volume of a cylinder is V=pi * r^2 *h
Since they say the ball fits perfectly
The radius is 13 and the height is 26 ( the diameter of the
ball)
So V=3.14 * 13^2 * 26 = 13,797 cubic inches
13797 – 9198 = 4,599 cubic inches of empty space
The area of the polygon with the given vertices is of 7.5 square units.
<h3>What is the area of a right triangle?</h3>
The area of a right triangle is given by half the multiplication of the lengths of it's sides.
The polygon in this problem is a right triangle with sides 3 and 5, hence the area is given by:
A = 0.5 x 3 x 5 = 7.5 square units.
More can be learned about the area of a right triangle at brainly.com/question/17335144
#SPJ1
Answer:
11
Step-by-step explanation:
Answer:
As Given △QRS is rotated about point P to △Q′R′S′ .
As we know after rotation by any angle of pre-image neither the shape nor size of the image changes, the image after rotation is congruent to pre image.
Out of the options given
→The corresponding lengths, from the point of rotation, between the pre-image and the image are preserved.
→The corresponding angle measurements in each triangle between the pre-image and the image are preserved.
are true.
Rhombus -> 2 equivalent obtuse angles, 2 equivalent acute angles
vs.
Rectangle -> 4 equivalent right angles.
