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3 years ago

A cone is 3 inches high and has a base with a surface area of 7 square inches. What is the volume of the cone?

Mathematics

1 answer:

lawyer [7]3 years ago

4 0

Answer: the answer should be 7

Step-by-step explanation: V=πr2h

3=π·1.52·3

3≈7.06858

you can find the radius for the area of the base 7 by dividing by $\pi$ like such 7/3.1459 the squared because remember its in r2 form which give you 1.5 then plug this in for one of two ways to solve A· $\pi$ 1/3 or V=πr2h

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Read 2 more answers

What is the equation of the line that passes through the points (-2, 1) and (6, 3)?

earnstyle [38]

Answer:

y = $\frac{1}{4}$ x + $\frac{3}{2}$

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 2, 1 ) and (x₂, y₂ ) = (6, 3 )

m = $\frac{3-1}{6-(-2)}$ = $\frac{2}{6+2}$ = $\frac{2}{8}$ = $\frac{1}{4}$ , then

y = $\frac{1}{4}$ x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (6, 3 ) , then

3 = $\frac{3}{2}$ + c ⇒ c = 3 - $\frac{3}{2}$ = $\frac{3}{2}$

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1 year ago