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Kinematics by definition is the branch of mechanics concerned with the motion of objects without reference to the forces which cause the motion.

4 0

3 years ago

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The volume of a right circular cone is 2,279.64 in cubed. If the height of the cone is 18 in, what is the diameter of the cone?

Aleksandr [31]

ANSWER

A. 22 in

EXPLANATION

The volume of a cone is calculated using the formula:

$Volume = \frac{1}{3} \times \pi {r}^{2} h$

It was given that: the volume is 2,279.64 in³

The height of the cylinder is also given as: h=18 in.

We substitute, the given values into the formula to get:

$2279.64= \frac{1}{3} \times (3.14) \times {r}^{2} \times 18$

$2279.64= 18.84 {r}^{2}$

${r}^{2} = \frac{2279.64}{18.84}$

${r}^{2} = 121$

We take positive square root to get;

$r = \sqrt{121}$

$r = 11in$

Therefore the diameter is 2(11) which is equal to 22 inches.

5 0

3 years ago

May I please receive help

skad [1K]

Answer:

116°

Step-by-step explanation:

Angles 1 and 3 are same as vertical pair, they are also same with angles 5 and 7 for same reason.

<u>Angle 8 is supplementary with angle 5, so:</u>

m∠1 = m∠3 = m∠5 = 180° - 64° = 116°

6 0

3 years ago