Acone has a base radius of length r, and an perpendicular height length h. if the height remains the same, and the radius is multiplied by 3, then the volume is multiplied by: a. 2 b. 43 c. 9 d. 27

The formula for the volume of a cone is:

V= (1/3) x x x height

Since this is a quadratic equation, if the radius is multiplied by 3, then the volume is multiplied by its square, which is 9.

Hope this helps!

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

1010: 3030

is it i think