Answer:
a) 301.6 cm³
b) 188.5 cm²
Step-by-step explanation:
The volume and lateral surface area of the cone can be found using the given dimensions with the given formulas. All that is needed is to substitute the appropriate values and do the arithmetic.
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<h3>a) volume</h3>
The volume is given by the formula ...
V = 1/3πr²h
The dimensions are given on the diagram: r = 6 cm, h = 8 cm. Using these values in the formula, we find the volume to be ...
V = 1/3π(6 cm)²(8 cm) = 96π cm³ ≈ 301.6 cm³
The volume of the cone is about 301.6 cm³.
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<h3>b) area</h3>
The lateral area of the cone is given by the formula ...
A = πrl
The dimensions are given on the diagram: r = 6 cm, l = 10 cm (the slant height). Using these values in the formula, we find the area to be ...
A = π(6 cm)(10 cm) = 60π cm² ≈ 188.5 cm²
The area of the curved surface is about 188.5 cm².
The volume of the geometry that is oblique prism is 
. Then the correct option is A.
<h3>What is Geometry?</h3>
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Given
The oblique prism below has an isosceles right triangle base.
The triangular bases have 2 sides with a length of x.
The distance from the 2 triangular bases is (x + 3).
The vertical height of the prism is (x + 2).
The volume of the oblique prism will be
The volume of the oblique prism is .
Thus, option A is correct.
More about the geometry link is given below.
brainly.com/question/7558603
Answer: x=−1 and y=4
Step-by-step explanation:
