Refer to the following figure, which displays a right circular cone along with the formulas for the volume V and the lateral surface area S. A Suppose that the height and radius of a right circular cone are related by the equation h = √5r. (a) Express the volume as a function of r. V(r) = S-ar√P+h √5 3 Domain: O (0,00) O no solution O(-∞, 0) U (0, 0) (-∞, 0) O (-00,00) Domain: (b) Express the lateral surface area as a function of r. 2 S(r)=√√5 Tr (-∞, 0) O (-∞0, ∞0) Ono solution O (0,00) O (-00, 0) U (0,00) X Your answer cannot be understood or graded. More Information

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Refer to the following figure, which displays a right circular cone along with the formulas for the volume V and the lateral surface area S.
Suppose that the height and radius of a right circular cone are related by the equation h = √5r.
(a) Express the volume as a function of r.
V(r) =
S-ar√√P²+h²
√5 3
3
Tr
Domain:
0 (0, ∞0)
O no solution
O (-∞, 0) U (0, ∞0)
Ⓒ (-∞, 0)
0 (-∞0, ∞0)
Domain:
(b) Express the lateral surface area as a function of r.
2
s(r) = √√√5 πr
nr
X
Ⓒ
(-∞0, 0)
O (-∞0, ∞)
O no solution
0 (0,00)
O (-00, 0) U (0, ∞0)
Your answer cannot be understood or graded. More Information
Transcribed Image Text:Refer to the following figure, which displays a right circular cone along with the formulas for the volume V and the lateral surface area S. Suppose that the height and radius of a right circular cone are related by the equation h = √5r. (a) Express the volume as a function of r. V(r) = S-ar√√P²+h² √5 3 3 Tr Domain: 0 (0, ∞0) O no solution O (-∞, 0) U (0, ∞0) Ⓒ (-∞, 0) 0 (-∞0, ∞0) Domain: (b) Express the lateral surface area as a function of r. 2 s(r) = √√√5 πr nr X Ⓒ (-∞0, 0) O (-∞0, ∞) O no solution 0 (0,00) O (-00, 0) U (0, ∞0) Your answer cannot be understood or graded. More Information
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