We assume the composite figure is a cone of radius 10 inches and slant height 15 inches set atop a hemisphere of radius 10 inches.
The formula for the volume of a cone makes use of the height of the apex above the base, so we need to use the Pythagorean theorem to find that.
h = √((15 in)² - (10 in)²) = √115 in
The volume of the conical part of the figure is then
V = (1/3)Bh = (1/3)(π×(10 in)²×(√115 in) = (100π√115)/3 in³ ≈ 1122.994 in³
The volume of the hemispherical part of the figure is given by
V = (2/3)π×r³ = (2/3)π×(10 in)³ = 2000π/3 in³ ≈ 2094.395 in³
Then the total volume of the figure is
V = (volume of conical part) + (volume of hemispherical part)
V = (100π√115)/3 in³ + 2000π/3 in³
V = (100π/3)(20 + √115) in³
V ≈ 3217.39 in³
The complete statement is ∠PRQ ≅ <u>∠SRT</u>. The correction option is A. ∠SRT
<h3>Similar triangles </h3>
From the question, we are to complete the given statement
From the given information,
We have that ΔPQR ≅ ΔSTR
This means ΔPQR is congruent to ΔSTR
Then,
∠PQR ≅ ∠STR
∠PRQ ≅ ∠SRT
∠QPR ≅ ∠TSR
Hence, the complete statement is ∠PRQ ≅ <u>∠SRT</u>. The correction option is A. ∠SRT
Learn more on Congruent Triangles here: brainly.com/question/28032367
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36....we need to break this down...12 * 3 = 36
12 * 3....we can break this down because 12 is not prime...4 * 3 = 12
4 * 3 * 3...we can break the 4 down because it is not prime
2 * 2 * 3 * 3 <==== prime factorization
<span>A.) Ryan conducted a survey where he asked about qualitative data</span>
ANSWER: 1.562
move the decimal point of 0.0034 to the right to make it a whole number which is 34. Then multiply 34 times 430 which is 15,620.
move the decimal point (which is at the end) 4 times to the left
the answer will be 1.562
