Answer: Student A
Step-by-step explanation:
The volume of a sphere -
The volume of a cone -
r - radius, h - height
The sphere and the cone have the same volume and the radius is 3 inches.
The height of the cone is
12 inches.
Answer:
Step-by-step explanation:
its a 14% chance
Answer:
0.45
Step-by-step explanation:
Percentages are the number over 100 which is basically 45/100. This fraction can be converted into a decimal, as the decimal places are 0.(tenths 1/10)(hundredths 1/100). 45 going into the hundredths puts the 4 in the tenths and the 5 in the hundredths.
The surface area of the smaller solid is 112 km².
<h3>What are Similar Solids?</h3>
Similar shapes are enlargements of two shapes using a scale factor.
The ratio of the volume of similar solids is the ratio of the cube of their length.
Formula:
- V/v = L³/l³................... Equation 1
- L/l = ∛(V/v)............... Equation 2
Where:
- V = Volume of the larger solid
- v = volume of the smaller solid
- L = Length of the larger solid
- l = Length of the smaller solid.
From the question,
Given:
Substitute the value into equation 2
To calculate the area of the smaller solid, we use the formula below
Where:
- a = Area of the smaller solid.
- A = Area of the larger solid
make a the subject of the equation
- a = (l²A)/L²................ Equation 2
From the question,
Given:
Substitute these values into equation 2
- a = (4²/9²)567
- a = 112 km²
Hence, the surface area of the smaller solid is 112 km².
Learn more about similar shapes here: brainly.com/question/2644832
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