MATHEMATICS MIDDLE SCHOOL

Two cones are similar. The volume of the larger cone is 27 cm' and the volume of the smallercone is 8 cm". The height of the smaller cone is 2 cm.
What is the height of the larger cone?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Let V and v be volumes of two similar cones.

so R/r=H/h

V=1/3π R²H

v=1/3πr²h

$(V)/(v) =(\pi R^2H )/(\pi r^2h ) =((R)/(r) )^2((H)/(h) )=((H)/(h) )^3\n(27)/(8) =((H)/(2) )^3\n(3^3)/(2^3) =((H)/(2) )^3\n((3)/(2) )^3=((H)/(2) )^3\n(H)/(2) =(3)/(2) \nH=(3)/(2) * 2=3$

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Lisa wants to frame her little brothers drawing as a gift to her mother. The rectangular drawing is 43.5 cm x 934 mm how many centimeters of wood framing will she need

Answers

she will need 273.8 cm

934mm =93.4 cm

43.5 x 2 = 87

93.4 x 2 = 186.8

add
186.8 + 87 =273.8

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Answers

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Answers

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The pair of polygons is similar. Find the value of x.
I really need help.
Thanks <3

Answers

Because they are similar, they have the same proportions. In the bigger polygon, the one side is 25in, and in the smaller one, the side is 5in.
25÷5=5
So, you have to divide 65 by 5 to get your answer.
65÷5=13
13 inches is the answer

$(25)/(65)=(5)/(x)\n25x=325\nx=13$