A baseball team played 25 games and won 10 of them. What percent of the games did they win?
1 answer:
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ANSWER
The height of the larger cone is 3cm
EXPLANATION
Since the two cones are similar we can use the scale factor to determine the height of the larger cone.
It was given that, the volume of the larger cone is 27 cm³ and the volume of the smaller cone is 8 cm³.
The scale factor for the volume is
The scale factor for the length is
![k = \sqrt[3]{ \frac{27}{8} }](https://tex.z-dn.net/?f=k%20%3D%20%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B27%7D%7B8%7D%20%7D%20)
To find the height of the larger cone, we multiply by
The height of the larger cone is 3cm
EXPLANATION
Since the two cones are similar we can use the scale factor to determine the height of the larger cone.
It was given that, the volume of the larger cone is 27 cm³ and the volume of the smaller cone is 8 cm³.
The scale factor for the volume is
The scale factor for the length is
To find the height of the larger cone, we multiply by
The lateral area of a cone is the surface area (aka area of the sides of the object) minus the area of the base of the cone.
The equation for the lateral area of a cone is:
where r = radius and l = slant height.
Since you know that the lateral area =
and the radius, r = 50 cm, you can plug those values into the equation for the lateral area and solve for l, the slant height:
The slant height of the cone is A) 10cm.
The equation for the lateral area of a cone is:
where r = radius and l = slant height.
Since you know that the lateral area =
The slant height of the cone is A) 10cm.
Answer:
hope this picture helps
