Given:
Cone shape: radius = 24 cm ; height = 6cm
Cylinder: radius = 16cm
We need to find the volume of each shape.
Volume of a cone = π r² h/3 = 3.14 * 24² * 6/3 = 3.14 * 576 * 2 = 3,617.28
Volume of a cylinder = π r² h
3,617.28 = 3.14 * 16² * h
3,617.28 = 3.14 * 256 * h
3,617.28 = 803.84 h
3,617.28 / 803.84 = 803.84h/803.84
4.5 = h
The height of the cylinder is 4.5cm
Answers:
The next two terms are 67.5 and 101.25 in that order.
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Explanation:
Divide the second term over the first to get 30/20 = 1.5
Divide the third term over the second term to get 45/30 = 1.5
The common ratio is 1.5, which means we multiply 1.5 by each term to get the next term
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fourth term = 1.5*(third term) = 1.5*45 = 67.5
fifth term = 1.5*(fourth term) = 1.5*67.5 = 101.25
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As a shortcut you can plug n = 4 and n = 5 into the function t(n) = 20*(1.5)^(n-1) to get the fourth and fifth terms respectively.
Answer:
she will have 300 dollars
Step-by-step explanation: