When a right angle is rotated about one leg, the volume of the cone produced is 800 cm³. When the triangle is rotated about the other leg, the volume of the cone produced is 1920л cm³. What is the length (in cm) of the hypotenuse of the triangle?

Q: Given the lateral surface area of a right circular cylinder which is 54n cm² and its height is 9 cm,…

A: The lateral surface area is given as 54π cm2 and height h is given as 9 cm. The lateral surface area…

Q: a sphere inscirbed in a right circular cone whose slant height has a length equal to the diameter of…

A:

Q: A swimming pool is built in the shape of a rectangular parallelepiped 8 ft deep, 15 ft wide, and 20…

A: Given that: Depth of the rectangular parallelepiped: d=8 ft. Width of the rectangular…

Q: what has a greater volume, a cube with side length 20cm or a sphere with diameter of 20cm?

A: we have a=20 cm     FORMULA

Q: In a frustum of a right circular cone, the radius of the lower base is 15ft, while the diameter of…

A:

Q: The base of a right prism is a triangle whose sides measure 7 cm, 8 cm, and 12 cm. The altitude of…

A: Given: The base of a right prism is a triangle whose sides measure 7 cm, 8 cm and 12 cm. The…

Q: 3. The volume of oblique prism with a pentagon base is 9000 cubic feet. and an edge of 150 feet…

A: Given- The volume =9000 ft3,length of the edge= 150 ft, θ=30°. To Find- The length of the side.…

Q: What is the volume of an oblique pentagonal prism whose base area is 120 cm2 and whose height is 15…

A: We know that Volume = Base X Height

Q: What is the volume of a regular hexagonal pyramid with base side length of 6 cm, apothem of 5.2 cm,…

A:

Q: 3. A cone and a cylinder with the same height also share the same base. If the height of each solid…

A:

Q: An ice cream cone has a surface area of 306 cm2 and radius of 5 cm what is the slant height, to the…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: A prism with height 2 m and a pyramid with height 5 m have congruenttriangular bases. Find the ratio…

A: Volume of Prism = area of base of prism × height   i.e. ,                     = A×2       (Let A…

Q: What is the length of the the midsegment of a trapezoid with bases of length 17 and 21? The length…

A:

Q: A right cone has a base diameter of 8 in. and a volume of 259 cubic inches. Determine the slant…

A: Given the diameter and volume of a right cone. We need to find the slant height.

Q: The sides of an equilateral triangle are 12 cm long. Find the length of analtitude of the triangle.

A: Consider the given equilateral triangle ABC  AD is the altitude of the given triangle  Now consider…

Q: What is the surface area of an equilateral triangular pyramid with base side length of 9 cm, base…

A:

Q: What is the length of the the midsegment of a trapezoid with bases of length 16 and 26? The length…

A:

Q: What is the length of the the midsegment of a trapezoid with bases of length 19 and 23? The length…

A:

Q: For a right circular cone, the ratio of the slant height to the length of the radius is 5:3. If the…

A: Given that the ratio of slant height to the radius of right circular cone is 5:3 and the volume of…

Q: A regular square pyramid has a height of 8m. If the slant height makes an angle at 45 degrees with…

A:

Q: The base of an oblique prism is a trapezoid whose bases measure 5 cm and 8 cm. The height of…

A: The trapezoid based oblique Prism.  JE = 10cm   (center to center distance) 4cm = base height…

Q: A regular square pyramid has an altitude of 12m and a volume of 196m^3. Determine the slant height…

A: Follow the procedure given below.

Q: The volume of a circular cylinder is 1280A m³, and its height is 5 m. What is the radius of its…

A:

Q: The sum of the radii of the bases of a frustum of a cone is 7 cm. If it has an altitude of 6 cm and…

A:

Q: A sphere is inscribed in a right circular cone whose slant height has a length equal to the diameter…

A: Given: A sphere is inscribed in a cone whose slant height equal to diameter =12 cm

Q: What is the lateral area of a square based pyramid if the side is 5 in and the height is 10 in?

A: I have used surface area fomula for pyramid

Q: Calculate the lateral area of a regular quadrangular pyramid frustum knowing that the side of the…

A: Calculate the lateral area of a regular quadrangular pyramid frustum knowing that the side of the…

Q: THe radius of a conical tent is 7 m and its height is 10 m .Calculate the length of canvas used in…

A:

Q: A spherical wedge is cut with a central angle of 45° and has a volume of 120 cu cm. What is the…

A: Solution:Given ;Wedge angle =θ =45°volume of spherical wedge =120cm3radius of sphere =r=?we know…

Q: What is the length of the the midsegment of a trapezoid with bases of length 17 and 25? The length…

A: We will find the length of midsegment of the given trapezoid in the following step.

Q: The diameter of the base of a right circular cone is equal in length to the slant height. If the…

A: Let h be height of cone , l be the slant height of cone and r be radius of cone.  Given that, the…

Q: If the exact volume of a right circular cylinder is 200 cm³ and its altitude measures 8 cm, what is…

A: Volume of the right circular cylinder is πr2h, where r-radius and h-height

Q: The length of the base of a square pyramid is 15 inches. The slant height is 10 inches. What is the…

A: Given that  The length of the base of a square pyramid is 15 inches  The slant height is 10 inches…

Q: (a) An open rectangular box with square ends is to be built to hold 392 ft at a cost of Php 75/ft?…

A: According to question,Given volume,Volume of box = 392 ft3,Cost for build base = 75/ft2,Cost for…

Q: A jacuzzi is in the shape of a right rectangular prism its length is 6 ft., its width is 8 ft., and…

A: Given : A jacuzzi is in the shape of a right rectangular prism, with dimensions: Length (L) = 6 ft.…

Q: 2. A sphere is inscribed in a right circular cone whose slant height has a length equal to that of…

A: Given:

Q: A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and an…

A: Given : A snowcone with radius of 4 cm is sold in a cone shaped paper cup with a height of 12 cm…

Q: if the slant height of the frustum is 13 ft, find the total area of the frustum. A. 1,382 sq.ft B.…

A: The diameter of the lower base is d1=24ft.  The diameter of the upper base is d2=14ft. The relation…

Q: A circular cylinder with a volume of 6.54 cu.m is circumscribed about a right prism whose base is an…

A: Given that: Volume of cylinder, V=6.54 m3Base of equilateral triangle, a=1.25m

Q: If there are 1; cu. ft. in a bushel, what is the capacity (in bushels) of a hopper in the shape of…

A: Given query is to find the capacity of hopper .

Q: find the volume and the surface area of a square pyramid with a slant height of 5.22ft, hight of 5ft…

A: Given square pyramid with a slant height of 5.22ft, hight of 5ft and sides of 3ft

Q: he base of a right prism is an equilateral triangle whose edges is 10cm each and its lateral edge is…

A: Given: The base of a right prism is an equilateral triangle whose edges is 10cm each and its lateral…

Q: The base of a right triangular prism is an equilateral triangle of side 5cm. Find its lateral area…

A: The base of a right triangular prism is an equilateral triangle of a side 5cm. Also, the height is 6…

Q: What is the surface area of a square pyramid with base side length of 15 cm and slant height of 5…

A: The objective is to find the surface area of a square pyramid

Q: The section is about polyhedrons and spheres The chapter is on surfaces and solids   Thanks!

A:

Q: The total surface area of a frustum of a right circular cone is 436πcm^2, and the base areas are…

A: If a cone is cut by a plane parallel to the base of the cone, then the portion between the plane and…

Q: Find the volume of the cone given its radius is 4 cm and its slant height of 6 cm. If necessary,…

A: Given query is to find the volume of the cone.

Q: What is the volume of an oblique pentagonal prism whose base area is 120 cm? and whose height is 15…

A:

Q: A spherical segment has a height of 5 cm. If its volume is 90 cubic centimeters, what is its…

A: Consider the given figure. Given that height of the spherical segment h=5 cm And volume V90 cubic…