EXERC
1 answer:
Answer:551.3212cm³
Step-by-step explanation:
Find the image attached
The volume is made up of a cone, cylinder and a hemisphere
Volume of the shape = Volume of cone + volume of cylinder + volume of hemisphere
Get the volume of the cone;
Volume of a cone Vc = 1/3πr²h
r is the base radius = 3.5cm
Height = 10cm
Vc = 1/3π(3.5)²(6)
Vc = 1/3π(12.25)(6)
Vc = 12.25 * 2π
Vc = 24.5π cm³
Get the volume of the cylinder;
Vcy = πr²h
r = 3.5cm
h = 10cm
Vcy = π(3.5)²(10)
Vcy = π(12.25)(10)
Vcy = π(122.5)
Vcy = 122.5π cm³
Get rhe volume of the hemisphere;
Volume of hemisphere = 2/3 πr³
r = 3.5cm
Vh = 2/3 π(3.5)³
Vh = 2/3π(42.875)
Vh = 28.58π cm³
Volume of the shape = VC + Vcy + Vh
Volume of the shape = 24.5π+122.5π+28.58π
Volume of the shape = 175.58π
<em>Volume of the shape = 551.3212cm³</em>
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The surface area of the cube is 64 cm².
<h3 /><h3>What is volume?</h3>Volume is the amount of space that is enclosed within a container.
To calculate the surface area of the cube, we use the relation below.
Formula:
- A = 6V
............ Equation 1
Where:
- A = Surface area of the cube
- V = Volume of the cube.
From the question,
Given:
- V = 35 cm³
Substitute this value into equation 1
- A = 6(35)
- A = 6(10.6999)
- A = 64.2
- A = 64 cm²
Hence, The surface area of the cube is 64 cm².
Learn more about volume here: brainly.com/question/1972490