Answer:
Thickens (Height) = 0.068 cm
Step-by-step explanation:
Given:
Diameter of disc = 14 cm
Radius of disc = 14 / 2 = 7 cm
Surface area = 3 cm²
Find:
Thickens (Height)
Computation:
Disc is a cylinder in shape
Surface area = 2πrh
3 = 2(22/7)(h)(7)
3 = 44(h)
Thickens (Height) = 0.068 cm
Answer:
12 cm³
Step-by-step explanation:
Let's say the radius of the sphere and cylinder is r and the height is h. However, notice that the "height" of the sphere is the same thing as the diameter, which is 2r, so h = 2r.
The volume of a sphere is denoted by:
, where r is the radius.
The volume of a cylinder is denoted by:
, where r is the radius and h is the height. Plug in 2r for h and 18 for V:



Now plug in 9 for πr³ in the volume formula for the sphere:


The volume of the sphere is 12 cm³.
As the ball hits the ground, its height will be equal to 0, so...
-3t² + 12t + 63 = 0
t² - 4t - 21 = 0
Using the Viet's theorem to solve the quadratic equation quicker:
t₁ + t₂ = 4
t₁t₂ = -21
t₁ = -3 - this is not possible because time can't be negative
t₂ = 7
That means, the ball is expected to hit the ground after 7 sec has passed.